{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#include <xtensor/xarray.hpp>    // xarrays!\n",
    "#include <xtensor/xview.hpp>     // slice the image arrays into color channels\n",
    "#include <xtensor/xbuilder.hpp>  // xt::stack\n",
    "\n",
    "#include <xtensor-io/ximage.hpp> // for loading images\n",
    "\n",
    "#include <xtensor-fftw/basic.hpp>  // rfft2, irfft2\n",
    "#include <xtensor-fftw/helper.hpp> // (r)fftscale\n",
    "#include <complex>                 // for i = sqrt(-1)\n",
    "\n",
    "// for displaying images (see xtensor-io and xeus-cling demos)\n",
    "#include <string>\n",
    "#include <fstream>\n",
    "#include <xtl/xbase64.hpp>\n",
    "\n",
    "#include \"nlohmann/json.hpp\"\n",
    "\n",
    "namespace nl = nlohmann;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "template <class E>\n",
    "auto display(const xt::xexpression<E>& e, xeus::xguid id = xeus::xguid(), bool update = false)\n",
    "{\n",
    "    xt::dump_image(\"/tmp/xio_image.png\", e);\n",
    "    std::ifstream fin(\"/tmp/xio_image.png\", std::ios::binary);\n",
    "    std::stringstream buffer;\n",
    "    buffer << fin.rdbuf();\n",
    "\n",
    "    nl::json mime;\n",
    "    mime[\"image/png\"] = xtl::base64encode(buffer.str());\n",
    "    nl::json transient;\n",
    "\n",
    "    if (update)\n",
    "    {\n",
    "        transient[\"display_id\"] = id;\n",
    "        xeus::get_interpreter().update_display_data(\n",
    "            std::move(mime),\n",
    "            nl::json::object(),\n",
    "            std::move(transient));\n",
    "        return id;\n",
    "    }\n",
    "    else\n",
    "    {\n",
    "        id = xeus::new_xguid();\n",
    "        transient[\"display_id\"] = id;\n",
    "        xeus::get_interpreter().display_data(\n",
    "            std::move(mime),\n",
    "            nl::json::object(),\n",
    "            std::move(transient));\n",
    "        return id;\n",
    "    }\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Intense cat"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's perform some Fourier space operations on [this public domain, intense kitty](https://commons.wikimedia.org/wiki/File:Intensity_image_with_gradient_images.png):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "auto image_uchar = xt::load_image(\"images/intense_cat.png\");\n",
    "xt::xarray<double> image = xt::cast<double>(image_uchar);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "auto display_id = display(image_uchar);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Edge detection on intensity image\n",
    "\n",
    "We're going to use FFT to do some simple edge detection. To simplify, we do this on the black and white \"intensity\" image. In this case, the kitty is already black and white, but in fact it's still encoded in three RGB channels in the PNG file. Combining these, in general, could be done as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "xt::xarray<double> image_R = xt::view(image, xt::all(), xt::all(), 0);\n",
    "xt::xarray<double> image_G = xt::view(image, xt::all(), xt::all(), 1);\n",
    "xt::xarray<double> image_B = xt::view(image, xt::all(), xt::all(), 2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "xt::xarray<double> image_bw = (0.25*image_R + 0.5*image_G + 0.25*image_B);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(xt::stack(xt::xtuple(image_bw, image_bw, image_bw), 2)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indeed, this looks exactly like the full \"RGB\" version above, but for general color pictures it won't.\n",
    "\n",
    "Next, we transform to Fourier space using _xtensor-fftw_'s real FFT transform:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "auto image_fs_bw = xt::fftw::rfft2(image_bw);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest way to do some edge detection is by calculating the derivative of the intensity image. The derivative (the rate of change) is high where a sharp transition from low to high intensity occurs between two pixels, close to zero when there is little change and highly negative for high to low transition.\n",
    "\n",
    "The derivative of an image can be calculated by multiplying the Fourier transform of the image by $\\sqrt{-1} \\boldsymbol{k} = i \\boldsymbol{k}$ and then transforming the result back to real space. This must be done in each direction and then the results can be combined to get the magnitude of the gradient, which is a good multi-directional proxy for both kinds of edges (intensity transitions form low to high and from high to low)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "std::complex<double> i {0, 1};\n",
    "auto ky = xt::fftw::rfftscale<double>(image.shape()[1]);\n",
    "auto kx = xt::fftw::fftscale<double>(image.shape()[0]);\n",
    "auto kx_bc = xt::view(kx, xt::all(), xt::newaxis()); // N.B.: we use broadcasting to multiply in the right direction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "// do both derivatives separately\n",
    "xt::xarray< std::complex<double> > d_image_dx_fs_bw = xt::eval(i * kx_bc * image_fs_bw);\n",
    "xt::xarray< std::complex<double> > d_image_dy_fs_bw = xt::eval(i * ky * image_fs_bw);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "// transform back to normal space\n",
    "auto d_image_dx_bw = xt::fftw::irfft2(d_image_dx_fs_bw);\n",
    "auto d_image_dy_bw = xt::fftw::irfft2(d_image_dy_fs_bw);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "// and square-sum them in real space to get the gradient magnitude\n",
    "auto d_image_grad_bw = xt::sqrt(d_image_dx_bw * d_image_dx_bw + d_image_dy_bw * d_image_dy_bw);\n",
    "// make it into three channels again to fool our display function that expects three channels\n",
    "auto d_image_grad_bw3 = xt::stack(xt::xtuple(d_image_grad_bw, d_image_grad_bw, d_image_grad_bw), 2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3GVvWsBWhFkoKGrsFD2Iuz8kPfwoXhFL1r8D+66+/rvGgpukXIZw2ojo5SBq/eJVOmhgPhw15QjxxG+AJ3ILcR45phGQJ6PstuawLdJyQnmF4POea87FzOTqVUd3C9WEtdbZVWtXPVDBQ5Qf9pr6pQest+pdYx3ZTN/zol3YTbfAFsYWGIj4k7q1FFCUhZ7VYhGsiuMGnWnQWS1cCBnAz67zqFm2Srpdk0aNENyx9+GsCrzVsbZJIStLnvffew78hviXCEqlpCzUwPUqXsWc4MXWLNljXbw6xDOrPAZ6L3aROdirBwWEbmtFTTz2lHzET6EeNQYP55Cc/iaSDRYFMNB0I+r/+678QefhkCCFkRzCvIBmSkaFndsdq4y3YR+BaWDgRGazSCiyY7XUJRG0FPvdisMknmCZX7sV92z5iO9hL2GdEGMqRdjRBunyi7ISHBaV1G8ejxjeH93z605+WIqKpas+0lJokQgGhBhbE5omtjw2YR7Ch6IxFhMi097pSFKNHvf/++3qm/qTfcWgwNqJk2RIsdoyc+CQdZYgYhqELRKZY9fQKKWh6lN5C4KVepAHoFSI4uGANCZkdMMg6VC0Y9iAC0i8SgkhATQrNV8PATTQ7plcv+sxnPiNhndWDhcOVGXzezhyxmJD98LHxaQOZ6TKdGfYUEKbx86h1JCytpEZBhrfk0XRTG+8FTVfCqn9qNxW6cOxucLrbKp1HhVdViVaVuBzN5jyLvFfLoWUVxHniiSdEBJI++leTF9rQdLRbH45PG8g66S7a42brK3PXCnIZYTwMQAr/7tBFvRRZwF3wHkID4GcJ4RWjQh7pR3GFT33qU3qdNkxcjYA4Uf8bb7yhe6+DlpZFlKcd0l166ec//3kRB2kXGk+yp6A/3Z4gFE6XfhQFS8UDj2PH4t7JaTyYasWowBuYnfQoSJaoUcBfIpIjCnlLuDWnQiPXS3WxHqgDHIWGlAiRNfhsRRGYb/pzbsHhiPxwryjke4nruEVMzZpUntAdAJ6zGPlY4Vq+Ry29xRFRa7WgEgEw53/+53/WJDU3CS+tnSCOqIqjNjl3TX8VwWnd9Sdxi0hPHBTaZihGB1o//tX4NOtNsH1tDxug26fi4U7WiQiIxdQFeqAEogj9l7/85XPPPSeGKhEpUkNGax1EXggdgB3MRicE0ElWAmqEvnMZFK/vUJJ+16ESGYlQyJBB80D8wbcQZHiO4R0Cjro9vkjYHqbUNgLe8fYARqPzEokFQ4VrsrzQz+oUN40NJ8/1ysbc0uyRmItzphUPSTM22outa7ppcArf6k7nqH+tjDByNgw/npAMHTTDYGDLOi7aIZ1ynR7x/1//+tfkcwo1YygX32JLUFLgQNpj/a82480332yOQ8KyAK2LAgjWRrLAwK7GB06mf9G39SFmUk8TFUITjJPvcFZ4j36RGiFYLdrSXZ/97GdF1tpXPV9EJjrACKLN0AOhmD6UMu0fDIMF0WW6gC3UxaI/mDG3sH2I8nlkFG723rKq+l/M6wAABF8MVBjcoQl0OP2oQwjvZFV3Z8BG4KAnYqYRHev5sMP7mRRRiav4CxIKNurFlt1vmlWie083g4wjOEKgS0mmuIXBq3ycnP0X/YCHiAfoYGl9cWn9/Oc/h8NrJuIu/z0+7C47Cq9isfQLdmA0cBY98kv/S9SRFgh5sTivFyrXBaIDJJeYBP4W3aLfRak8n4ReXqp7uQat6PnnnxcJagCSg385PiJf6RnE7upfXaYL+rBixzcCQ10c6CbRrMfqIcg7JKnejmxCFGoYmEjq8dZlIsEkZvUSd54TCxF3Z3oFop2dAxfIiEGVjYtDU+PUpuT3a9qq1qBuH0g2OGQUCDlZv9sdgtdL7ErVmWfb+CvkXEoQXLc1K3+KkIUCziM8XKPUoiCYdIH2XquJNNQeY+p89dVXYVHwAPEnLYGWWKSmVSZxcrKBTeSIabTCPu2uftcDdZe+syv6RffqLOpfoSX9L6xObBI7mehDg6EWgf7FlauPnoCSqInoAi26GKoGLLEoMa2LNSrxXVROfRFV6S2sgL6jagATcz4hVtETvFySFJuI5ih6xZKOnzGTmuxUwDKOrpdTPRUjLQYLLFVaAQgRIAWbZGtEbdNQbDmxfRhuYExgUBb2+i5YWTW0BA/lF/BdAGO2P4Eci50kMfOEFXEybrHAycnHSbSaSwA7jJfoCzxW8GHxDP1J/zJn7esH4xN7uqaq6/UnzX8rwdpwkTjkyRdtJX1ZD9Ez0cswGUCghH+ItehdeotWXDcKJKHraCMF8ibHhohKUAXasB4BaGBmIiaN5HOf+5weLkYLHHzllVd0WqAtETRoT7MT+wHJSTqj1eK80+CZLFyZXdMT9CfRFhoZU8vJT8iUnqDvmg7QM+c5sTQYMoFQoDHgqe4CVEH0Ir4+QmVYAVRsXqFhMy+IZA273m7mKoXUMFsjI3oxaFXa51hU+3i9OGQa8+Y+rLo1fgjuKPLXShEVxKAxQeli7Q3gQ39ljQBASD1do3OPIpbx8CIOHFsVnq/bMfzo8LFSukVzhOIxbun06wJdqYeLRelK7R+hz4wZ006UiVaC2Vm3zeknukxU8sMf/vCFF17Qj6ItVk+PhRsBULQ36POAG800GLk7ugZb3WuvvQZV6QliV/jLsQLE8ZeYi9QrQOLrGlKM4h1ZRsBMTiY8TEwX8uWQhEGw48BNjClsn65PBMQ1otfoNVbuDBX3khEFD+g2O+3FUR3iq+hqt8VvdnQeU43iA9fVhqGtTDZjQlh6goYoccC54STB23A+6IiLIYm1YNIEk6L3MbdQeYwXoC4EAacNTRCa24dxL2oXGZigdY1WfxJN60V6OKyRp6EB6TmShlIXoGOs3svwmu2OLMA+ghXg5Zdf/vKXvwxGnIaRIr4UPEht6PmalJYITU0j0WlhLiIL6cKib8l6PQ1BiSMP/AfMgnQYKmurH/XAWHpDDWzf5iCt65oL60qyTbhd2AR/6k6v0CCTyIocg9NrZ6/3+lzKPHTbkEI0sNmleKP7TYdPu5mPwIgJ1kH51z5x/rBicybaSEDDeA0vZSZaLAkaLJk6vuyNfsSmLJSji7Waeouexh4g4Ajv5+RBiOwZr+ZHVhmhGYCfwFyITFSizYOH6UViM9rUaRhpkL+cEMyhiTAB3iVuvdsbg1iEguGXetp//Md/aCL6Xz0/O42ZAEYuKtGfRMeSv1oE/aunaVlETFIG9VcROlO4r3+N1eYaNAYMniwI/FUrr2u05jCb7ONe0gyB54FoOLggLw0bqzruHRhnkKh+YXFCCdfriS5DZAinOUwoAjHoJ/QU/09oOX/VxoiWMT3r3ShTIGj9FW0f4uMc6wvQdXc8BhBYK4jaD5vRL7/61a8QMXE46BbkF/sEpXbX82jWVdFluiu3YDZsI6SHeWldtCWiTokVDF0aOcAFwsU20YfJqjuXAe4Iq9icPrrdrNTA9gNsgSDYyf76r//6Rz/6kVgdJseT68lMw96NKqoBEKwn4C+pp7uwin3xi1/UvSI49hvaQnKBHzBJkCMPW8V2JW6nXzQ73oivaXdBpW6bFnY1JpuJN4cCgCOxC4LZwVsIEHi89vqPBKGLoLuobJlqYvtbMUBAbZGYGrqOFLGwAGSt2u70ftwmOmpnJ0doHLpYKyVC/PSnP41Pg7GyOuGxQc14afSFyI14eAAfsfjBG0L6iNFE7EB8CCaIAysRJK5Dr51DJ+eNeZSGh1DjnIAnthFGwphBSBxRKmCxdNpyaAVLlZ6MIf4rX/mKBqwVaCPDM6U1OFRYWbVi2hTdqHfhRxeFQcG7Q9wSe47JIw6GqPmEXRAAI1qEjPS/2q+acwY7B/sDldiI7mIIsLT4uTV3jTCOsjaMq6ztNRV+6UtfgkPqNQDklPlqxVezOPYjCG6yy0XjFpzET6JlEk8SgADncs5ENCh0ACx9QOi6TC/VWO/evXtN4+s14NMz9R1bgL6AjaBsgqVg8quLCkWWAddgb0DpzB9SThUyHGeoV2SkSALC24WFEbuZOPp23nLlCncIILI0WV9kBKcZZAlRMgWOXxyjsF69Gvs7YDH2p14sOBAQ17BnWmpEPGgYIxZHBaANmwRaaAx6i67X2vZhokNo6C6oVuJVnAyphaaCfK9hI/2m5bI52RiChjVm8DgtVlZNzxIiJi6AGJ3uOHFUDO6ZS4w5B11j4gkaJccU5eLxxx/X75qwtoqKj7BQEIOEmnTvz372s8Tq6xWaPJptZA18qNpdezHlownH4Mlfyc3tjumGwmAq/BUpEImjwUAf+l3j1GHYXP0HZ0Wz5RZQ1YrDCo6lRUMNZD+0r4h42A8ChdQu/S8IDFylbf7JT37yzW9+UzSt0ygRTAiK6Kw54G53ALd2RMuLSqvnSKihrKDxsLsoemhkaLi6i/CKMNGYN/EZcJxATtqLt8dnKynEiytZcjAOrlIJVQFwgzEwRnDwrg8VGItnkeDGi7OdOevnmxVzPjE+ereGCC8BgIuG9AIdYo2SwQGHUeDxtzz77LNSmCF5xoq9GOmGxEnSGN66XhzkehRaSTYAmEkUW3OOW2xv4pfkMGkpo4rqCTxNv0tZA1twI0sJgGUdYeSx+jAv3biNrAeWSCPRL0jzhGLyutmFy3CtYKBCuq0jeUHX/OIXv3jyySe1/mTFMF/2rznWDzEklgNIT/x+c01RIn9YopjLORuclgAmuDuaoN6oIT388MPctZS0aSYbIMHZ5pDoF4I+lhGiEkgKcl2jMQZA6B0Bv6hXWVBITbPSIJBluFSpP4no0TtAA1piCRdJSWZFQi18TrSIKqHLMFmhGfEKpA/byViZIfZ08IqerEMcRWx2ZZ/4JVg4yIXTvA+LOUJHg8dvSIAN7C1rCpMDnSDmUGbDMsPJOBvweP1JIoB9gnChzu6EOwhFzCnVQbGCcpb0VwCQbmT9TyOhCsgF7RKcqWuwcyZGNOEJ8Qeza1phuB1GTkAYg8GQpH3UA/FkgIjgQ7MTT0DJsTuCWOAyqz+aO0IJ+MiJXQSc9WIesZdgsXOpABNNEEZFcKZOmBZFT8lmBGgnmkLj1pV4Sduw/2KeBjjHnAiKCqTYnSeuP+l6wgRECjB8vRSSCq9uTglP7Ro4qP4X/gG6BDGQSiC5k4BJNB3ICxJcXZ7v7CxWTEHwec6uKBvf2TL8tagsqFFQye46aThhUNZ4oC7Q/7LluARwC6LZaSJE4W0uAgP5slwsHQPGat+GA1Hrw8hXFzEUBSOsgX3N9k/Uc3itjr1gCctCfBh7EWyHM03PB+bCPjkhzALFEJUI9QvX7SKppNv2ktVUzZ6BbIxYeq/AE5ZobIlMex6h37BBfL2cPD1Ka5TweybPgaYuAMQU1qprwH2QP9SGzQIugvqtLcGOFVYHWybgH+hK6OY8Sg/wQXRCJRokx5S3wAmAulNJiGWTYs7GGoRxAXAG9YhDd3vAYuMGGwCMsFNj+CBoDhiEIqJhn11ygmAYoB4nQYumwcPX23D3akHQcvRSfddqQ7tQIaeFxYThaUmBzrF1o/RBxNNwV2CS0AFuwywcm7vuFV/QL/he20hbRToF/8RRjZF5H2kdy9NPPw2rjIcyJo1200+pE0C4PobmeUT6Avzxc+nFBGdC6UhVdF0mDPZkidkYSAeOEjcTkItThVWCKCs0DHTGbC1Rcvh5oNGsuK7UpKAnNgaJz5OzxHGHVZ23Oyt6dTAnwPzSnz6SWAKbGD9mEc4Ya60V0yLAa2GKEM1e6rOT5QdT5FTjQNPUtGLadYwRPBkosjqigUOF0aQPlxevwKYgwQSi519BTI2ZssrQBAcYpKWdxQ6nt+MdYQVw/4Nq8Isj4oGSHL9EBbKeIpX1XEpVLyVrJeou+yGJqTfhNoHyUPSAC5ACS69x67m6XfSqa7YR2R262UeQ4Wlk/oNv9lLGjYC7RFKjV8K6eQjoEpEdNRjoAyfTw9FCZtfOA6oT9KhrsBtFCGLc24fpHMR9NSoXoIjAez9RUUQAACAASURBVJI3Bkk114UH/E321AYRwx1jTEe0EUcfmzUckTAsOCijxXiBQSFmrc2JG5oUDomrUeta5MgJXEdUMc0WFqdSwl2wcnEjsbKIMJZUf8WhhxaJ+RDypbiSnizWrhd9/vOff+mll7B+QXy7fXf4bbHyx4N8HYZG1uLZVXW2ktQQxzVz0DtQsHkiFJDYJlYT26uGFTEXomGT2J7ZmRTITfgNNJ3oR+6dnCICnLxyusg28vcRUrwIFAmO1iuIl4o9NoafuK0SAXF0UQPcR3Ag5oWQxXOApMOkBC3CriBirS/KBAwAlx8i6cIfFGQ409FxrWAj9FkkEeZieC0ZNU+NDxvfR9ogB0PsBJsWwauoxmAGoL3A0xNPPKETdXCVIsL6mK94IW5pvVSvi3UUCQZR4q3aRlQZEf0H99qYRslMXnpwVg/xt8tnPvMZEEwvpvYKsPRKsSu9VbIWFDmX5IvdXkLGxBG5dA4/yE4DBY0xUGrDgUD1HfiJwA4PxxS0ONoOVI7BbHGdiNmpLKfSeKICHS0HDIYKmXop1Q03t5CY3AgkNLTbbRqfLpK6OUL8ynk1TA0eidq4ONIySiWBoDFP4GZGNcZApdPfS1JJ3tgc46opaINEZxq2Hv6pT32KcAb9r5aU848rmpXfSwnWxSWQuQCep73GZsF88YEiNOF54DDACXoPaEz0RC6GCBExwjg1jM09RBIxIJm7fPWrX9XLIt3njzSo0bP07tdff50UjuAPGD5zQxWPPaJiTzwJIVxkog6QRIP2exuxUBgwNVxsQpt7OnC4D864BeNHBgUGcQD4U4gDEtQIpW3EFU+SEwsBe8arCllP9iWgivNeeGq8k5uLKSBounMrNAsxdZR2xE2UVg43us7ZiVMcKtghhkM9TeoqNmr8gM2uHihGxCT2owuEcXWBthaJptmFT2/jgxRmR4Auehroin3BoKUnE6Gkv0pq4cLXYwlaBO+fXRoEPzJVa3QB0gmgySHE5nw1ovW15tda4VtvvRXM20q+HmQh4UoQC4cvRgE4OagWo8PRVbURt1dO2ye0aHEJ19j+MTKh4OgaHd9Y/JH06EQRgoiGUBgYKw55pCcHnTHgzYiWLr0a/1f03ORqLk4pg/PDR5F9J9fA4L3hiAdH4id2FE6QIwr/5kCDLOOiJgwa0QysFGVIi9LpBbYnAhaaRjEUMb388stx/UrcsLtiYOwOajinBbsorh62Q0N67LHHECYwKv1Vt2DHYe6cwJxYESUXo9yw+Hg/IXqezDBYosPIYr3mWMJYohsw7Ll0ucDOodnq9dIXqBSFj7m5KQi7vrvAPK697uCCKNu6l0ws5FE8hgS0aJTYTgNiIigj5jGTYI8JqgNscfFaujlMDspAMUZ5ZAzxHq5OpmCTJmc4oUxggWzDWhjVvZd4VCBmfJfd6TR6C0xXz9T6ap84kyjh0DfLC4Oh3Q3eIVHVF77wBQ2V2p5apXfffRcEhhTWe7Vhb7zxhvhWYti1NcQDoluwtgh38SGYIlm4IsS7d+8SKY8FThSp8etfrfxrr70GJOeQoPQEbaMbrS6ECejEXNKGXVd/lWQDF+IUXl588cUE8u6uvQQZileRtKmpIvvIDNlGXDNGF+AbsJdDjHKx2yeA6N1cqIizhckAQoxaiuaFsjnZ34ngiDFzutn1CiiGKaE7ap6DhailFsj74xMigxfG2tQcDA61oTThm1ocKIdoSzjX2fVVom8DMpDIy4hoxfsOfaPG7o6RPI18QK0qWYFa5D8ZH6FYnEhgczZJUwioQMeU2k+cI+EYuoUobeIAOAbo/8gT7hId6F0iAmgXlVyk9swzzwTDMR0kJgajOGcBf4Bg1OdmM6kEn37/5S9/KRKnWIb0jOVb3/qWRnl2jqKmqj/rDzoWmv8rr7wCE4K14u/jfeTFxriCKMFSdXD5AKyRMSpON7vNnB0VPTuEELNy9DgEHKJkcVh98Dssmnc1RwtFsSIQVIuutYNfYhWEC0b2MTusL/pO5DskjraPCN5crncvDdY4+nheN5fT4CQQXIBo5phxYODTWOb4FwVW6pHI64UXXvjxj38shC4UhcKh/ZZOp39FTHq4thCSgr6xbaJakeSDsxmPOMZ0Fl/nigITjPzSia/snWiLGxEIIP1cxtJpnIKPu4v3RTnQFMR6ONKSfiJ03SjWu3zzm99EVdbQJYPFbJG7USzRFGanZyGw+E56HcUzMONSEByaw0zKEmCLqlG/US3ZIYwOkwPqL5zOy/ZfuEEjH8iO6J8cie54wysnluAQ1ETgo5sDyCAXiBWvCBqrxp98eSpnnNwwEdmx22WWmIvYBnkgUGEdYXe6Ejf87vwRtMhuh6NIhBIP4h9iOdoSLSZPhjrR5uD3opIf/OAHooA333xzHnVmUzmCYH/i3kCQYFYAuKaPQZVlTPgDtKLfNQz9TjQKJS1ixZzdjQawX3V2mIterefDIJOQLa50PRGdD1QzUkQkwoX8X331VRA9zpCYXsKH2Dx0V8QlZknSrfQLnB92pWH96fhwMQ6Ki1LEMrpVUCTKFJEezTWugp8wSAJL9Si8tmenk8NI8MHpenGs+BUwlyzOjjo5KDQCcXcpfUKi43cjihydi1ewGgfnaUFegLmz25boBDPgcD6qHeF9h1PqF/EncR39q3ufe+65n/zkJzH3s1ZQHgdVYAgvr77r+vgSEGe4hnj+MjKzSREg+pS3awuQFay2fpROgOmLP/VSMpjLWB/ywzhLyBlyW/TRjcCVfYSEXPMwDUjqkuhJ5K/TgPuaI5VgCQJ6+P3CBTA4H+iiGi7011zWFmzLlpBsEyscmAMn7lIiNCouDrq/csWEvaTLQm04p5CercT8AxD/bHy0WzAqGA+oNnyol3a9uh1XYBzPJ1cV43XQ8eRK15glJ1drwpIZkMvOkYnKGWOyukBsTGTE6ks+7MOdquN+3e52cNZ7I7MNcwMSn6IPAiH6IurB+K7/xWelVRXnIzucp+nhxFAgwdlvuHhzsjvLwvFGo8KggN6AXswRgh3ecUWg2FwQl0ks0xsBS3rvdTw6Bp7u3NEkL3T7gNGVYIkwIQI4UWv5E4H3TCNXsnPQO4obRIBjAVswdBylaXMiPzvHloOdo8N3d4wNw6ua4DpSqfRAXGmkZuzOb5sdtcdjsZ9hJ9SuUOOKi1GjNkfWo7vEOcFyE5MJo9V+40venFw/OeSQ7YGXnEf6oWjo2WefhVOKq4lhPP/885IjB6e1Ed2g76RKc3r1r8QI4Qb6Ihzz0ksvzW64hd/w3siphAJA9MHyGNC1LNWgzQJq/AQb6oNZvzo/YApEieFc+tD9NVlVBBG5k8QWXPNvSBu5gNEBdxu8HaXv0qUmIKaUZIkbBMNG4AtshtsxYcSkOTssCQICVWjQZBzElxlED+uCx+ylAMleKhMHma1OG4QvUi4GDby5d2h39OLqQDw4MSlW8QxmDGw/qC56wzYaBcD/mfVcmr7itoKfsVawPdK2RBaCH7qMJDYRlm4XEYhWUA8J0tKqgnSPjv3Fow/hCmy9/vrrGowIVPeSoIwhSmo/aKm5sxBcEJ8Hqbkxol44m627zxmu0ohCthgJFsmwlATSKExYTzQ2jVkMeMGGC/Wt7lZNVtbuhhwxnN5xVS48fWC6O24BT6z0A6PlUDjnoaTtYh3odsDh4kCvRvtlzmen6sapycCIDghhxaoUMyz8g9xDPYTItVg1IfpbAX0XIy8NDzr8DFdxfKbdMa5wOJgl+jb6I8yA4W1uSh0ixvnN67BzYo/Ik0VnojaBWoxbIhFABXZEbQ2yW6OSAMXDg2fmOMKOxe20g/rT008/jZn63/7t3/QLjbfgkbCAeBHwhEIl9biiw7GP8UYc3GQgCBsUARwCQIMUSVvfRrDGNfGhBqNbLa4zGbgTG8aVW2ohShgrjJoQDpTExTn8WIyiJS0uDxmG1B2fz9u5Ep856vTsEBoQTyu1HqCA1dHrYAXANYYG/Ssog7cVssY+wrk8uAgbQSOQ8uIar4iGs1t6MGsifOI8wCrBGAhww7OB3oBbg8g+DQaLwLVfdoAKDE5YAfS/IinNWr8wd45HLCypooaf44tf/KIuw0aKdR4DhGQrtcE07C996UtUstCfKN1OchsjZAFBQrMTeg+jQp2eTG6Lvly63O3sQInNiW6L68dApsmXRLbCca9pSTQBo2Yh0L/2kizLd84ZwgJuFOSkGzUlFhdDDuQSzH7lQsvsGQKCbYhh9uRUFraTWFOshbMDYOAH7Hqz62lzHh/7rY2EB+vocxcRAbhgc/KgMNQLxEHAHI+Ksy/4LLnnq5Ma9pICRMhKzGzHkXeKrwb7LSVPJbl0gbARhTe0hSTtYGDT3J944onINf2Cp49l0S0C+7/4xS80Qan0gJ7vfe972lR9pyElVi6MWFIwSbyj7PZjjz1GZMp51MIMWoV8mayugbCIl1xKDRiWCCsGjANegOBCN48N+XqJMPagj8B19AshZpOriOylmgMMHCDCWefcZ88SEgNvTMwnPIyzeCphvpHZi6PBmOo+HLrQ8dGZtLs93LvDXNdS7TKxH/GVYrapCuPuxAceAnJKjiG4nrdjHlyc9xbNdHEv8dl9EnaX2nrAfZBPI6Wd6Nl9WKT0CvGSH//4x9pvYSzxMGgUhy6nQlxHP4p60Dni+4OTkUAhEvnmN7/585//XAzphz/8IS7I2PCIGif+Wzo+xA1c0xg4qGz8PlIFoVr09Hmk5RFOHOS+uEZXdh8qvHK/HbYSF2d02OvTtbnAEBt2GoFHeB9ZrPj/kU2RYlhEQV2pTAKJoDh86GKH+kISThS3pXQpPpbqIIAb7sIuhysUJszazXZ2nm+mO2NQ6SMCBCsurqFbhvtsJE9bhkufFbnl++N0QpGh44odoTak9l6apsxOzTi5ZLxEDBlQQki68gc/+IEGCd+KJ1gXa1/F2AA6Z1dSQK1By+MYf+1rXxPJirBEXhh10Tk0vK9+9av/8i//8jd/8zc//elPRSJYehkMcJ6NJvEV9w5SCK6MdX5zLiSMI8EpRJ5REiEKEAYLzhjLpSdfQwvslicX0Z8dINDtjGOZ7rhoNlYcGHgCDnNieukfPJeWXZwqFvrStX6a66LCQhYHmaCm9VKGBWEx219GlPNWGpCiQGCMRr+LpR4EBucDQVOrDhU43uvd6TQMNW6fbhcq/AzAzmQTnJjjd3ArBiZIKiwDkGzikCRbCZLdRj6xhqRD/8ILL4BvsGeyJviDT6NusVZDWvxnP/tZkdTzzz8vsXjhWmf4dk+jXYoUTLErDYZIHk1Z/3t0vuRusw5YG711Gf5NMbzdFv8aCcICgm3idYAiI6maY5aYzjVhAUgnJyawbXtpUhLD8cmdzaFift+cZo46htCNIrq5YFxzAnF3YNbZfSui7p4cJsWNlQTZTg4Z0h2gg/4VIx7WFG7p7tMXfVbXUxeUoL9T6cfU3Gskq9bsuXpgdP7g+MZIEdYbcytsDMI6jRwh5IXwkEgBywIF/qFgMS1OHearL3/5y7pRIIxYksQgxTinR2Gt0P9+5zvfEXPSX6lRIKoVUeo5//mf/yk5K+ClJRLfYgwAtXnkrOt6pCGeU5ytaLi6AEkqKmSXzyVL4srZnRyn1dFKnGog+NF1da5FAVAjHCvKc3PNNNaIFSd/MBoNaiB8m0IaWhEk9wP+NMeVT+50Fdmxuj5xcGL7SAu7fYSgzK5qhzeDE6wFhVFhp9D/agAIfjS16NLABQr5gV1EfwfH1x5GZC0sZy9thrrjCza7cbbSg6k7sZazDkdnlRJsrXc9/fTTukwCTjsqYC7wJCIDni+uA0Oeln4XZvr617/+7W9/O6PaXQBCs9OhEicgpuW1117To0SymPv1xn//93/Xaotp/dM//ZNolOSr7373u8m9I7cHgSDqjJkGp+HkAhwISl6NiIw4Yrl6Mf5BIUx8c/4feuKCqYObYxHdHZy0OSCTZUWaoL7BS3gQpA2pIih5CBA+9cTgXgnP4DO5H1pUWYh1Lf1CY4ZpjjTUxZT2Q3lkGzCdHxxxGjs7PCnmHLShsB94PuKJM7OUSLLVSeXNORSMOfFhR2cRshTd1V1Rhx955JGXX35ZfxJhSUL9wz/8gzDQiy++CMfdR3yBDoOoCnIJyjk7IWxzHRvAKzrvr371K1K1yNzSOkgnuHv3ruC/qE0zevXVV8nWZ9epiASqIZdfRws+RP1w1lacD5cxXIr9BVcQzbeVZtK91FTupZsw5qcF2AhLTAoKN+BpjlxgbyBV7Aj4AQlkwJIUvxhkpI0Rw8eQQXg4V2bE3d46XJjNnix2PfpXdvTsYjUwdhQQDhmiLZpmeF5cyzCJk+NXkdehV8pNEzoyuyTG7spKeC2bo504daATyC7xF0e3FBAf+tioOE9sDBqMxNzf/d3fSTfUZWIq4mHC4I8++qieLLgNcXNmziMmGEUBiQHQET3RCE4iD5gfjojhSuRVpbxGpRfpCSkD3kduHCASXAH9sQLdbeJgljCC3YFJAVgsC6wuRxdGy2P/2AiP2xK/FobPDoXHQD0AGhYXbIEBAwvbbH/O7shBbAeoaTGTYtMC+p2d3ZBiYvOIVIzomZzhuLtwHqybFcSR1x1WmsOw2Z3ACNsIu8N6Gca8uk0ybAYSwft2cMPs2QEkW6lTD0FjW4l620YUADNCO9YFEmSigz5iz7XB3/jGN3SmRUlSD0UlOh7LcJyT2Yf2pysTTYXRBEU1uJ68P4wIzzzzjP4VecGH2BdClUS7uvJHP/oR65NzvtiXTJaOJit2NY86F7MLekf92m826g47CGY/ulM6u3bNa5Ikc3SoZ2wn0ATgA0dH5Fcss6sbwkIBVBmYnBrKw+HnyDssH1wGdRNUA0/C3rHZk9VKYcHuILvN1Sk2x5J314WOiWty+8Ycqc31LdhsjBers9e784IC+BLDU03PrZQNj1oEKesLAEV/ApUf3AFQM5L6xmpgmH7ppZd0jeDXZ8cnwVh6FOAvdZHYY6wJu6NIoGzKh5CQp+dL8EUBWoe/H/1Xt/zsZz+rzjesGCxC9He2gFQf7FIHx3/z9smdvxGI3QWMMCNcufomi3nNp3AabKUjDxsAka3Dwzq5SQREGoGafbpypTLUurjEkYx1NIhz+CK5UEwsyU9Q2O4CMsE0EWeTa/0i+BObGn9wdGAUhUtXiYlsZTUB+BGOXEa+9eoc5XBxlg+Kj1GeGxkSiQ9YGkGNukzSkFsQcFQJxHBFerGQtVARWhv4EtM5SJFRrY7d5ZmUX9cTKHMl7iued+FKXXgsYo3TjQJ2LMtqZy5MBeOFmBmJX/imAMeQNWag7oA59hEGPNsXlO0j6obcyfs6DZV9esmuARrHX7vbcZGFrvbA2W1LYNSr62Qg5gK9Ae8Y09hseCFsjAWN4QCz2aVLaMLwIsUhNQz6mMhhErMtxRBNDByLG5yy3M1lw1FOMcKFwdwbvYeiBM12m/LYS3eeAXrmAsZG7J4YD8YwOJwmTuRZnMEkvYkzEbmASULX6L3iW8QIkG2L8baXOFWMQfA2yl/jD6WQPRaBvAsCSnwsUrXbgYYwQdEh4Sz6HSoI4GF35CP/4mCG4zTXIjiNMgssC0txbcciaif3o6QgUCJQwRCra7CAbUFXSO64d86OIueotRKCfHS1zERTMUO4GvEzgPGQOJrR4h4+kfd430j5P44qU1Ppc5Eib83NZ7mR0ImDw/Q4kZjdozYGVXAWsXQjFmPVnN0VPOowr4bE77lgUBDxYeT8hImyzlRGoWUma3Ux+o1RBgc/IKfr5ML6ly5GxTnh9IpvodcDEFlw0vZnZ6trof7ELelJFIDdimsSIM8iT45oQPyd3fE0mH2/WSNtKtFKMSMkaOJaK/zQxQvDpcL9chxntwaFyKCkHJGTgy3zSk7JZs9gTjAodSnVniFWQjUeGDX79b+E27OaFzcLlx9c2w0dE20LrhMWksAeduVjLtkdmDiVROrJBSZDOpvdVrGn7y7qd7oZoj2XKgkMlfwcACto6dJ59FiMxKtA9/B+yplgN6KETuRpG/6GyYlJuouVxD5MDSlpfGzT6oad3YHd4AR9//34IDepyMBJRploIyqOnUIUxkmabd2cwhR2E7x7dO07uO9mV+9CvmUA/8EZUfvN/BnOH9EjefpcKsx2R9pEVsaLtJZSYJejOFYOfWwhk5txIjgIqIrdMrXIAHCk1E2jaD2aeTK6TqVyeqzDxKIEjLfSCz3MTJRNyOjsUg7E60WpjmTH5HYoofr8mNoNHBLYHof26JKIqL0ksyPFQAWsLeF+HCSyAsE9xB9jfD+OcgzIBF0sRZKDzak4O0GNGm5nJ+3Q4Ek/EvsAVaHVEgjfSpPzMFfOdvJcoubnTGYxF5cghMiuCevRRx/FgrA4xCA3h0sBGuIthlwODlcKZ27tRkmtyS1cwvkW958+lbZbsXFED7oqjSdT74AoNvavOb093qsoBzx2ckmPyXVNjjcbDuKD2py3oxEKaJMSIhZC3exLNxfl35ODjHnd5Cqp3XGIqNnNHgvWjcgtwMPmmhEEaeEJ2F0I6dOf/rQIjicQnordHxYLF0S1/NznPieOHqcyhE5KQdQvWqEIuYpuQI34pGGfbVTIpQaOrmShCOPpJfOgu4bF5uy3xaXz4waMGaIK+uvNSkFSeFU4HqIkr0GVxQgUb9HiqNbV1UsWJ0dE9Q3EiS2j2VC72fsWfhv7QizXRPkQIoFtgnUEsZJmCZ1duQoNNvFDaUaHkAWvgAMYYXg7wR6QI1Ipqig8oxXbergCYDYWuM0lIVYnU8BXUDJQIwJMNxexIfz/8ccff+ONNwgfFd+iVxQCEVphdiKFb33rW6cR0cWWPzA6UumNn/nMZyBBTAC6HuXgOOLxOfnktLGGqJx3RulNBAWIYinhvhhTIJS4NFixj2KJ5pLB0ygadc2xTm6JFlEKrVAmip1bRgre7FaLu10luwOIZ1urz84fihKXExDbKUsAp0VjiJIYgrtwrzasghygD13KBiiaUxV1D+ECTIGO74zihSnrtTvKL7CMg350jeRtxIsGFDa38wQM3HEf0QSWJMhssY82c0TrJAZEjAH2MI3czM0+uNmlBjATzKOC4SOPPPL000/fvXsXKoE96NUvvviiLvv+979PNDm7Q5gT2d7UlG+ll3vCNNbS5OGOe0gRRHQasVKJQJkcRhU8ygfr8S1lZSkNCWN2v47no0VnbNOzi63xRW/91Kc+Rc3t1B1odq2sTqnopZ9lNqOVbnWtFDKN+pbNuHQp6T4sT3dcsgL7DcxpcbZgd3BL8gX499JV8w8jChniA79DpoGMQbhT8WAAfnkR1shAw/lmyYZMBC6422+9F/stPA91EnRFyl7cdiBciJ6gZNx2XCwS0e/f+MY3XnnlFaA3tqvnn3/+X//1XwX/d1cyozjM7syiyQV5QX6tpGTitdPFFBHRQxCXeAwJmDs7G2C1vxnLYrd1Gi5wcPY5c5/c83wq9WCXp5566mr0hAnaYF8PI7f1ySefjJkEa8KHbrHcXSUBb3Zz7l63iXV1l81b2mnAfmQiD4kNPTM8u9/EVnpD4NLS0lcbEvSNxoBBK4px1IKwpdWxrLPdPov75p1HAidSmPxMHKZxwS4ubQVsyBg4XRfu0bC4DeeV+9exjKfR2hm7AAZVRMzs5CW6NetHgmC1O6+99hps72tf+5pQ4K9+9asYZjFIHkZAyuRaX/sIi9UmwraxY+0jj5QYEIlIUhpDNJiyI9ri+3vATTdCOqwkWSGw/NnVvLojHB8YHRivC6+FnLu7+ZxdiJay+iS7ocVEUIa9xQ13csPSzd6PahxCQISeInrODvRDCAbPwlQXR0izcMQ699EOM6dkcrArNqcY3xlYiGZ3RiGqJWH+MSJMLiQcaBimCyrgSh6VWUB58RCcbhZenxy3uLimDQo4QjzRKXFzRZPlQ6zVF77wBVHbs88+Kwbzve99LwEqsORIQ0ACwyN2g+REsh2XEfEM1MO3E9hHBBtG+bg9OCeoLNnczXHkEX/dVq7ZgSRIGOGrReOmlhAEgXeW0jGajxZaA/pwtLOGXAJxtmHgZj7Q4myPXgg8amNY1+LIyYjU2EuwsCXTenJhyKpC0j8ME2K40dmhELOTw2AnAVWLSyBH7MJIJpfKaY64n0t48WwDI8P7mHsq55hObifJ5+xmuKdRXGRxGfCTY+p5BcsCd6HICk7Go1PKmu1Gulf8iXYykl8///nPEYJrKe3cba+B7c3OX4XoF6dus/16nfaRMUgWaZCoC9HHY6pFdUMT6m4MiCgMMDiXeo5Vf+yjOsj91r1xoWB8IkaPPrCiuTfffBOIgwGwlUZQyabfncQdM1hk4uRAi7CNXHNwg786yt0JXge3Tr1yLivDu3JfjZNbyuSUV6DK2cWIhb8yO/0x1yKcSpJIMig/Nvos4DCe3AMn6VnsAREHR6d1IEoYzDJCW3Fpg8Pi7qWrwNFtHRDZMIbJiW48J3EWP/3pT0V5P/7xj9npzfF0CKzmxNFUTtRmpQ7RHVdv4+0cfsxsolGpougiAM2YP+J1OI+orO6aoJFXFT2zhqwzY2PZFxpMQNrRtEOSWCDn4f3WB5cTaDe6T3jV5Lzn2fkOsS1NjkAPP8sp73bG8cvqIJbujP7F9dDI7mqjdg0AOWSHKWgrydar848h7pisIEp2fbXTenXfHtqCnpx4DbHqR+iGMwBlwGg5S4F0VyMNOjoyvOFYqnCnVmUY+dldP67cp5PB5BXIaPB7c49dxpZCS4QwSXTOw0+HvR5z3XPPPScFU0tHMUh9n4YrSVwDWy78nowmyCJAOTIhBtIodsw3CAccBWS8v4mE8UvDgk5jjhI90XIyAAjyilUCbnFZ6tiGfiN9Qum92NB6qfi9OvNiccGqwKyDc344NBhgJJc1XHEINQAAIABJREFUMKzzu70iJxeHyXYG7HdbOPeSOT27uejZFR9nVwa84yadOZQsVg796qTCyQ7N0FweBf/e7LlfHVaQZIJm2w8SBKc7QTXdlpqcUpYacyOm43B3fERoM9io0GmkPEqX5xYSXD8crY31/J/85CdfHh8Y8GmUBqKeFqaTSPkc8qNTtwMl447bHSK1lfr4mIfuExaBCSncwyfMCahBFuhmx/PZucLNvZPCmauZdHZO3+xoiEjSGMC67fKcnijw3BiVk+BazsDuMvQRGVA5JBLAtDuy/uBM/27b7FI8yohX9JVu8/FFqS2QtW43C6l3N77iBCNZZhvDmtOQPor2AFhHFwr8XzcVP7us2epedjRPwDu0u59KIGzkwDL6C6HOw/moafjqq68Kn+lP4lJ6iE6mHv7973+fiD9MaHEOri6LfyjpN2cH8QYEM+AYARaXB0Ma3qdF6rzfG8XNm3N5s6mZQ34MQ1rdbKLZ4D45H7+qD+0jzvAQ4uRwvFast+F5efvJbTi1UseRos7BXZycGLXr4FLmfEJVlawhCzgTwzi6Ti6CLL8HG1057+1cmhIeXUgCdo5lYXIcEQOYHTyYH2cnf06uBxlUsDlKMUsK0VAxhrPUXHt8s32VMElc3fjm2RddJuYkRvDFL36RkOjzaLFEPT3xsxdffBFgDWhmGNg+ussO1E2Jsek8ImOjX9dNXByafL0OZ/eIiuDkPMVQy4OyK1UZmRyssjrfJkKTAW1ud1ilZBA9h7XdzNMK/bEZWykklNcFksMSluGsAHU2Bw9VKz87xO8sUNUe0HBjpIlQg7iJD87DOTNAchRGrNthwJlgTlRi7qZh8k7acYUBiNqQHTyAlII7Llpc+dPRpaPAAH30IaeiIkNF9mmQ3/3ud0nB4HwSa6RrvvOd72hsL7zwAvJ0t/8+DCX8OMe128kBVbSh5RzdvmUpDfeu/xcJDXDj6dFmWeIA23C5cD8CYOpxjO0OucM5TrhwBEf4x6G0Sg+15dwHFV2Mgt7U0qASZpxWiX4+O0yUPYv1JaIKWuyO4wi9NluGWcEEIXHSeBf1gw7ucxHePDsa81zSspHOm11DzHEZzZL2UfcQCzirB2rmjYkhW90vfrEBj5lyAnE+orT2YRVbh4+ZwOV1NECkNgQucGKQnnrqKUlDbKSg/rfeeosOga+//vpcgj7q8W6G8DmiWWSW/Y77YXeX0iB4836ECQWuwM7dlc0WByOsH2l22kYB2e7QpdXREBWhR8adSxTU/pGw/FY+sz1CCYuAF5IPTUlCcfWpWPOXEWuQOefon0qfOuZ/SgyarRvhizkAMIZYQdm52bGKk5uvUI0C6yjuo8nZi1ASAwgPIPcEG8TkDnvg5an0kq2MnFhN3nhyrB/cRW/8xCc+kfhvIslmJ6zTPVUUI7KWorM6Q0SAR2JRf9KTP3Q3SfFjinJTniSaVnOhIqYJqF+dFwPzjsUftjo5zhY79v1gtO4PwGh2OEMA77F0Uwr+vecS0yxiBEoWerI5MRifXb8l8kJh+WtAdHPtSfg8LTZD4nDjPHxzaNfZNU/CnNljBgYwr4sYARpK3YpXdHLE3+QcYi6G0+xOtMS1hfUZAH5wrU1M4bMt8hkMwwYSTf4Edd1x602ShJtzpjlC5PbAMmHnuCBpYBMSpwoNJ0dc7dFHH0V/FFWleTMtTLrda3hfAI5wCp7WbQCC9wdUEIESsA/f+mNHhmYF++xo47pb/WYVUB4RIL+VXOGDM4xntzmdShmFSPGsY4h1sWE6g2ObeSA2d7psbk6jRV0lboSDuzqYZ3fH4aiZ0B8+1JhhmlsxslKsJvA85pnjKK2xO1CCK3EKPeDW0c2tKAgc2O2dbYbhq4vazcUHl6CxozOdwtp5CHY7QvjvjObkVPicXXJ9dXUnERzAPER8HvGP2FpXO+mB1GwrlXMJK+X76jaizXB+sUstxNCd25xroLagCBb/jzUaLtw9MA64uTjLItcmR0qwagd3vgtD2t02bC9RO4E155stHnIjTw7NVaqF/ehs4YIgXa6qqCd3pojgC51Ndu+sDoLgNIe+ZzfuAtPgQOz2ryMLuk0eBNgkcIiVBZ4ibYnPzC8nJ8c2FxY8uNluBNxmxx+CdXGIGygbcUkt6sNIpz659yTH7J47Z8ODqfIIGoOJQu57qcI6D+O7nqYj+vjjj+t6SUmMOAwvGe04p6/ceS+wu7lxWtVPYw+/ryoenWoYetxdsWOxt3W2szk0MdufH/FR1b2z6wNG7obVdTvLDi6PHsLfHFHTCornr4RaTKO29skl/xEW8TOcHA8e5BTb1eZSFNwbSyb2ocW2XIIIoKdmTzkAnBfByRAW8XvEhEiZtbSi7CWwYnKkzVQ6ykBMzO7sPIMYk0FC+RM0x3ggbgJSUA+BXNvoFdKHiXIpFSjOpfcHqFEHiTwz+hhAgmQ/nEYMXDTo7CzyNwoQT1uKPz7uV1j7/WCaiLYwN0h7tSt3cs/B6WbY8WwrNrtVKazbyYMewXMymluytZdKqd0N4oL20HTYYw5lWB1+08mdmwLMI0nhXtA64BdwMDmrFtg+FSXjwn1N+NKGV/TS9QcWl1hZ3JmCKCsOfXdtLbDBbiPWZFvJ7vCQ3TZe2M/uyjaY6GKmmZ0F2Zx7DUHfGZWeRRykKFKUBfqrGjEHG2mLtRJbFFMWReoX2nDSGjyAdb9poJ5Klg60EWvz0d3aqxBYclECjs/Om2P0zanMlEELXunFDRkxCoFWEpmK7YrX7yVNIwA/1ByGMVldAic94EbiWTIgNtGnIB5ipyDl6AHnkcERxJPjOzlKJ8HHUzFvRtxPLn+CXt1Grgsw5TzS4bWd2h48E80BgHFOLO6kOrt30mwfw2SPe6wYuy1YuSD60Nn+492t0QTVufHeqJWdAtqRKouN2DlgqyPkcib17zPPPCNFG5IN5M3hD0LtxQmxu5oyNIdMyNbjLV2qZ6CaB2PhDEABiDTbKvpNu3xF9M129rVkdDBQrNhwglhT9xLkGnKcb1qr8bcQpQPbX5zWPI1yfjnHEalXLvodkB4JxSDR7yaXu+GcEIAQBQJi5YChn6KZi09IUU9fU8ptnkdaAHrr2TE2PPBsV/2l+9gsjvVYHEEVD8fm6ornUoo3YuTCnQSJl6cX4exKrXkyxE2bWawtBNXtzsABZn3yk5/U8aDTQgYZ42J2M+c/G1Q5S3aKRbhm58eSm5qTutn93hx8onUUcNYoZ3cP3EtFjYPDmmcnfIYhdVfEO5fSD9sIytuLLT7HN6yu/girww7JHmwOaYI+QgFkVTDzxCmgsWPsmd3bnHlFRl+6SiCTmuzDZ0apEAaYw9r+7rvv7iPmggVJxZ7AiUhzXp2Nn+3da8WX1Yoj/+hMNcgLtSs5Z/Q6IDxBY6DsUXAI9wIKj6O6GupISl7BFM/OoD+OUgCUQ+JdeVS38z5bE6rIJ4xtssbGCi/JU2iumJA5V0BAOTmJ4bNdqpM9+QGeEc8ZQdj7VirSclziBpmsfsaFudsSFgEPN71urzga4AYKRIcP16F6arSHs7PWKC0UCdUM8JeSBLa5Be3JaTwxYF45NRd0z4YdndvdHPQCcl9dK6Hbx5BDkik3g99Yc7Jis12QCdmgYkcfRnYs9XTMEwCHOx6cPzM5zPDsUKrmhACinqqHjZHT4ScFLOMS7bb7TyXYv4LFynpCgpMtRAvwqLs+XbdumLUIAkVaRylYSnNA9i9WmcmZjXVBw71Atf2mVzzm4yrRc6CD5Snbtw+TI0IkAL8NiN1c7xSRBFWtbjN2KA3GJrsWUtgyQgS4tjmoupVGOuiDh5GNfXDHIjhKSr0HOFYwV5FDEO7JBX8jX2L2C9dnZeL22UcSM/0HYULnEmyScPUQGRhxcQY9axtNk3mhG0K+NV0gbGkpsQI5KmFXFe00g+M/ai4B+RUSzcVnF6V3cQ/w+tbdEdDxb6/O9DiX+OO6iOFJwPCKtw7Ohu3WwMneIYEYUxZnEVa0ubkenADJNY/ggjhqkH3Y0CtI35zox2GFVVCffS6RW3EcIX/hfzjjdG/s4KwbZzWMMEs/O3qMId1CxKujloMFV1e2RXfhGFDUj7QfHhXLDhsUyRDamt3q7OAgfZaUwwCvxVhzb/Q5y2Dm4kOMTjbZ4l3H3wys7wvTqNY5KOErmyPRosK0Yu6aivETUphshF0cf9dK/PFcSmdHKkcZDhJEuAQ05E8wRYnjfdRwayU8eiqhhTx2LTFS4a/bcN9yyhe3kMgceQV8SHuWgqWTm7lH0CN9oLzziEyC8YRYQ0m3VNTJCgoyt+4TRFO5NQJ3sqseZqbpp1QVkouYRygvrOHSVXHCvXJQc3Qn91FDtaQ4wOZc7QrMe3HEzaUcdRBRlM0QyTUjZPRbyaW5xVfm4vLbb0ayh403q/Gbm8nsLj8C24jZqZdc+92dtLLEjDjxuN0O80gQicJpFC1KEAth+EQKxIYeFDk79obtuXT/38l2L0Z4duHDCEQAymzLLYED1UQMBZPTS3GYVpBssz0ZqiVkMit2cM2V2TEdWdWqRd0blRMnG5BonE4nkbfffnt3r4YIqW6rzeqyR8xxtv+nwrgYP1ELoNrFxVrQkCpcDsfNHjVbHG8pakDPZXUc0mxzQ4RjnGgxPSQNI3hzLs6ZkEuIGoafExCSXV139ODS9SHlZi0vD5mHcoQGR0NUMutjREG6nd2lnLPbHDOY1zVbcXNmYGMpkTDZxbS4o0l3c9HVFXUyqlg6YGDYaXcbnDZX0YXV5U/sd8az25R6dlGMi9JLdnJ+PQdVugtgQFT1wQcfYIJHGhB9cHZ7y92uiOxFMFYfZZ5CYYj+deQ8Jq4rSZcZVStQvTKgkGmAUATlEhcPn+Y0qeakv8QnhR5zLKLTLXYVV3laI1GPpTVNuEI3oK5khPiYrPHuLtTGscBpSp+cNnSxufR/4wuspZ5Lnp+qRueS8Tc7Xwp+VucejIJ3pRWfK2JosjNuHa66GIEqA242Lx/doLs5ECBsYHOoCdZ8KDiwL8L6oYceujMK2YuwUnM/0RbhrwhowtQQGrw0MbfNhfsjDSlKQOji1SjptjpV7uRMyYNb7QWE7A54r9//yGUiC6IGBzwuJdhtL/6Hbl9NsNviZkaRyps9wVMxCHUHTYTGM+3VXuRoLlMxBYVKKL0s0qERHJSU4ieLU/kmK8aczqhOhBofnBQA1+TL1SiSRhs3WEWYZcpbxrU8ux0XzCzW/O64oxye6sboN912oeBmXwLeKgjx4PRoYiiwIJ5LjaFuvac5Pa6PdiMn9yPOIoeGIN+zA2AmB8as7ioCHcfmgvtocvZeRErgShBh+EWzfvNHUVgh8+b2h8ENrRgOsuVzccicS8rAXByOoZXF/mCWBpoGfm2lrtdkGwdrzTU5BySV85ww3nPJWpldeI2o2ZOz9cNIJqvfW3ErMfIAxExnd9TNVGqW5ARObpLIQ+648/nuyNsgPGg9BSwjK1lP1jmc9eDKCOETiEvUT9SFCN/EEAS9APvoGB0xAsKDs/K/nOr6e0p/87/dZQ23UtV3LjGPrUSchhcGzi933JGh+bPctBlmERfnqldZG7xFjNHRqcyhkoi5c0k/ZJWxCB/c4CA689FF4s6OsVlcS43jCw/DO4EFH+4VwgXHcEG72Qs0bk2QRCROyAv5EsNKdwluNgmW1qw31FPU3JcFiHZ2ox6ec+FepiGpO67c3EsCz2avGhsPJrvjJp2Ty1cH57HxtDYJLD67ONTZxS92F3HAsnB0j5bVxfh259Kd7a1HQa4xQs0250inQ0nmCUfg3yUjAIJE7mT7N0dW7cVEFi1mLv7mZuNWd+QGVFuR+2ST7u66yPFdAHRmW/OzTGtxOO7DhYIidiwdbDYHY+FSDKbO2eAIYmIgem53ib3muiDwvJOzr8KM52H7Bn/ACKMrEM6wOhyKU85zFtv9ybObbJ9sDnELTJxKQFHGw+wmm+CDpsnW6m62DU0E/RCHCKdZneFC2bqrURYQdY+yWNWB0R2nAOEyDPxgSRDKOOeSElzP7e6qWveDO1B5on9OJaZWv2sbzo5OzpEKVUVRCl2zvkT2xEtwcM0+rMOBrn2YyLtNO1eludRmi+Ve4kwgnWWUE6YsLN4hmIEUZtSl1DjhHEd+YZxkb0h3O7nFUvgEJ5i9zLCP7vsF3S8u5NqtMsftyIsAPbN7C+yOs2suMnPl5qChbzDcLcPHnVKTUgOIw6rb4Hcen6C62amU8KqwH8Yfsk40W3POPnUSOSfI2QcffPAwKqZWHSvwptuWXhlNLAP3tcIo0uGHCeUJjG0OGlxLok9FYLsVvcqfuJHk3e4U7PPNsOCTawLOzgCpQmEqIWIIVk24lfS6JMtHavN8ihax0DSj2231jc5/couUUHCcvpBgAjJZhKUEkxxG0FxMMFSlqvxvd+EGLuulA/Jus0ImuxQz2FRyFRPaQFwJTqr0fOjuqxXTQIpeh+v0odxtrt7bRqFKPIOnUp+c08V8+Q5D2UfFW1YPitmc9ByA1YvtJgRwP/ox4XKbyzeuDuWpwHyx/zz4dLJxNfJodcZOL5HKu62OFN+i7u/kYi9cfHJdyc21ViK8ww6XET8jffi9996DB6yOZbtwq7R5mGSJhwyp4X/tTmAkZyYypdlFs7i5a3c933R35jiCKogUhZSZlKiK/qVRHhNdeMcVsGOkyKE/uXJEc6pwvJlJ2cOzhNWXiWD2PDs1AaYY1w0imzii3cFbrZRYEts7uuN6NKqluFzbqFBKfk7a+Oa0NCu/4VXZrMXG0muiOo7KEACszYXhd+cCbM574X1TcZ7krEN8vUT8Bck2WzgAqpSeZmNC3bM7k2PIydOCMCLFd6edibCIFSF7h3tzAMK3N4fWVKUh6kKAbTBpxOXkzObUqQ4Soq51LG2Ta2YwPMQcZqTL0m1gcsAufl+UspDp5NJ7QBMUiz46BR1G+8ll5N6wtjlI3cGlvKjb9EPnPXg2e5G3QOhAhcWhf2eHM1VBqVfrRH0wPhHZm+sSXLgaZV4aUTilpS0XRTMKpwmsyQazVcCLuGIWFxSsCifPYSPJNZ2H93QfDgSdANjhweV+5+Gr4qjFRHlyU8zIuMUxwYQpv/XWW3qmKOzgRFOMW0AuxNPiGLpI0qDsKPnQWbhdkMTB5aw52RHu3THpnDrOZA5ht7ducw89qCTwlsiI5upcEViZBZutqVHVA6ga829QAV8IzTi6BkSzTWt3DkVzDfoYoi9dOPnsmCLWmRQM5kJGV3eOV/y/Z2cE7g4rn/0JxLxvH9GhvFM6YaTuTwVJ1ejAX48uznTl+klTaZHFfHBsobLCwANgo7FvDseuG3Pppl+rM27nUvxTI/zkJz+pa+hnFJvQNPp1i0CZZNhSzEXwRbAFG8NeXrpxJlo9h6HZR7m7Uk9UcSLYIPF9tOyeHEMc3BN7VRDuViITY32tGiiD5GCIFIjP0b3iGWgYm2tiYzBbnFTIc2hYH3V7Hh6FmHg4yUG6mAO7ezBFPQrLAd6tbicbm8JSGkrOJfJlstkS09r1kSZ6jqMT4l2cP5MHzfY7NqudPAUiSPkbGCYoippMh5G5y5peuGBms4rL2Q2m4V+sMpP7rQfhQUNgLIqlMEJK7AMz2XXWAuiTJN292NWq/gGCoSHK2cUBwf7RN/VXtO6Tq9AspVdP3HNVgV1KCglKGbsIX4Q+unuZ7I7bnJw+BHrbXY2DR0XJjfoGyq6BLtQIQS4zknXUEYK5ro4G6+4fG70HKx3FMg+ljtDmcmqBhnCEiq4iqZAA14QlFf3999+/GA0Reyk7O5dqiLP9cdmPPGJyeCH2G2SN3kfGCN07Uz+DT7OVMgpL+0iBeBoxLCWBMVyX9FQ4VqRzDFGXoy0Rewn7xN4dxgMQ5C0BpHfcQiwRzPy4OGc/bHt22b55eCdxUVdiSoJU1O0EGzJObArddfOb+7VOLi6VXm3CVVx8cpIcaxIjDvmxgOtwh6WU70LTim0Fyo5YDOQIkz66xjNfiIFG/71wtbeczGxZFW7gtutxap9SdjwcOFIpcB7Z0WzcW92LIX71PH1zqdyj21lv/iB69Aswi3OwuW7nZi/N6gy+c3FH5ouIVWf07t272WluTzs1MAEkso183+7Iu6tRqAjes5Q41WgbMYQeSmHcW+gBvnVyTZtKWGspWZOx5SFQ1YUbryGbgnbhE1LHGA9VPe65L1+zfWFy3D1y4NJFyDEHJvCQcVaIfXIj5xSoObpjPMsLV94cpDQ52lurDaDsSe2ybyZznEp4y0rr3ieeeIJ6XxTx5ZhqfUn8CFRs9sm3jwROLHb2zcNCnUIDyTyZ3H8m5hBIFr5VeVUI6xZaJNCbk01IFoUPa8T3PVcFby7YcuW6VoBcEDeJYvvNakowJOJ9EYKT/Wu7vZCXruEbr8Bk7ywomylsDgHiXEWIx26y2t2OyOACftcW6hU6dWQ8s7yrndzVQC0yonM4lHdnlIoMqF8dm9+GEh1ufXJ3OHg/AJFAidWRKfBg1ocWwAJ5rAmzY1mybr24y5ptpNeikHLyi8MTOCu67cEHH4zienb/O7b2L8bnz8dntjV1c+zKpZujTi52GBt3VLyDW0EF804u7osukyAF9ImzixDpFXp1dz+VcP6QAhR8HtkTsxsMwWDOLs5OvPKVS6Ilf2Ry0zy2OXU1YIRxiUATu4t7x4y0OWcrBxJUMBUv1uYI6cVRN5MNofB+/S99moJpYt/JIFmTafSogscQxHEeFSXasKMGX+u7VixMsbLn3XHxzG6z6ZhJpeQJ2RZQfNqi7LaXRj+dS/TUNccSYeHiYN1n119MBR92WnxSMkhIPz7gq9GtJR3PVxemYpQc2QuXFeR9q13LVQmIQZUtZ4YBibPLwsKx5tHDuA+XkQYG+4mCw6PweywuSBFaqZY5JB1TW2xfxb0fzhRtLugziGR1ZBF8LqmeRxc+iAOkygtEWHW/8goSyHDhUbaTTJBWMkJXh6nBFXBMLY7RYOnuuVf57u6y7WbboslhUWdHpCU+cXM33oNDT2Ei+jz55JO67O2336Yo0nTTaxwIFGixjnjMtQq7g0uEscqBNeJesAEhm2iw120t3GAHs0dSvNF9Tq4azelfhzMVfqOL6RwE5ILsTo5tajbJRKzEB4Cwby5/TSN7vZ3zh5xC09xcAj9gjnWcbXlqLkNFbTBi2E8OsgNr7zaNnp2Fh85LbSB0qMkV0o/ueLi7VhvgdS3xC+Lx3ZWumnuisAXEme0u7t39CXLABE9YIqDi5JxpljHS8OQgs7MTx3c70BDZiL97o0EfxmrO2OqA4WBrslfeeOONikozql7KvZyc8XafMQPew+GZUnPSyOyMaRHsPIqJQy7aS7ErpMk2ikWzAYgezm7OdLPda3M3wONIkjy4pSUTrl7L2MFv8VuMwvoCp4RBTqOeZwyAV67Z0txNLk7lxR6bKI/wOdT75s4zzTlbB3e4oJbrbscU1xxGOhA69W6HBhOB53HvVWlFFkoNDMAyqd9Zw2X416PKxBECOkSkoKZwViE4qG2xJxQehicneTtwhBh7w0SjUDN4THqzYwwR6EE4i33MwdwoFofSJOu+KHz00UfhGZMNJ4gnzGjdGbTa/uaOAYEpi5MOqtRgJiAGGHLgapT5Nmq1S7A+9thjbHbSm1BzqtUEm1vWFJcIPRo4H0iNk4tHQFUMj3MMB41LJMs3OU4GmgYvHtwcGnmUK5sjJ2MZStoZg8RrC0mtJZOAu7ZS7CAhK6hdx9H5bXYjzyiqAQlk/C2lVlRyPNfSsIhQCLyi0NA9F63sNput/uSNu/0QU8kGiLIC2D2XFN/wC4BgK7b0yL1rafb444+L94AS+ojXIw+EMxpVBVeM7tHFOKEC+cPhoELO33lklRxGBTqsL0gKGAaUqoe/++67WLmCGTmvVSEN0N5HpyE2FQq4LB1QN7tidmd5I1kALry9BjE318qm/9Y0bDn33Kc0BlWOzdlNCZtNbswohUAQRiwU/zaHRSwly/LsGIRQPBcnSnZ37ORefHy7E2LXm0UlYwdmkNABduPDqOU3ORCN7qybowihtoq7m1vBTw5dh/IAsjAzBtBLZY2Khpvjdu7b20RYEivwGKAGJwmQDqJHP0JFItKenZ7sLWb0sE28Y6wdUT7rKEKEQscJIFgPpSEW+W0EHXR7i6OdnZz8qb/Scxa2jO0Kglvt/IFXTaWBdLg0AiVXdkcwB/RgXZtsW9nsbqpQhmd2x7BzisLqUP6Pzik6u2VSL77CC9e9jb0e5JQTH4m2O7QBnoFoC/NgAEtpKMmN6InIH2QFQCrt4A4OMlscrXDhwpkH996GZzM7aKvZmnhyBH21N03Of6Ta6nWHVcmj9957b3UmmqBPdh11b7P/HIBFSPXmsJDNLryj83D0I1a+aaTd7fYbUuuRtaC0K+oxhItyl+OCdWC6WfTmYnTCTZsr4qWofJeqGw+4bf1mByILzSYB1ZnXXKLwrkbh+OYQXhhhWMha8k5Du9DWlbMYIqfulOrZxE7FLN5Llv3ujkD07WHpIJ3mCrwHJ+/PJWEEQcYe83zWnxOSXuJEUuwlSSQSH8bMmqDG9hIQBWu/cq0KYoFwnES3gJ4CrebSgRupcj1rYSyYJ3SNWTw28ahszRXxoFNKygLFsNQFQDBbRswqQJ3sKFNCm40v9sJ5xnEUYFaeXeeJhtA0unnrrbe6owDQh5sd9YuLWCRIHPX+vvfKhV91MT0gd0f25Xzzorn4EiKRMx5o8Vwyhpuba3LS4ItoDKHRzc41Wl/BhvU6nepYPrs7oqNHo6wxwaSmZdGYV8AliDALvtjNNbtw4eq6QBBcImAhzZAsIi+R3Kyk1i2CbyqfnPmYqdmI6xXYR7CvdgtbEeFEze7nNBFNJAZsmRrii8vRYnRY7ecRgWrnKAsDGkUkoXLg4IvjAAAgAElEQVQyfzgEPElXSsaxphxxRiJuRPwx5qKLUVM6qjva6GEEo+Xg3nMhV9iPdhEPz9kVOKbRsVi3cAyQQejVzA4um2T80B+icy+mmQDnbaQzwO3gVRoqZuuTQ/mgD1zdJwdhb06uYtlProWkMZDj/8EHHywOTwqzTEjCxSjWNZUCBVejiRfGYbjaoQTMsQ7EAF658yrHA0jNtiI6IGsgI3sHLJntE5xKigBEoidzwbX0E8aiHWHiinZ3luIAxUQRHZjgfHyfeK9pMHQc9TDJ7mjuEA5X66PFwz58CPDnxX0cGCIePQS2UP+F2+NINLfSXDm8ilGB5w4l8x00wKIDDtBLmPDiOMmpJCZxyAhfDoJJLQPI5ejk7Gl4CHBbLS4eERq9ckEl/oR8x1u8O9Qu2glG2liDJtfhDTKLmoZOA0cBihxct2hx9rkW7TSywDkqe8nJ3lykrrt1Hks3lQ5tsQdN7tR6cPnTZaSubG4huzqHLETSXFxzsq/lftgMhYGiix5c5DmWp6mU2WCJlxLJCqHABulZLe5C/wj+hISNZpeztbuEBkuJsgnqyjG9M2pQz257hJt8H3VBQGagK1YhkXoxDWC3hI55YCzvoBAegu+2uRBStahxSBJCyCkKF9zddP1cWvuBhaGzubQygBNnhKdSQ4vNpn9dZO7J0cZs81Xp+q4tm11ABsbchoE61Y5inYqPq5fqNzlXq/te706vndwIYy5JKDVcYhkFUc6ObMa80kowFfaja+CCHQGcyL4eXWYpRpp9eHUQ+cxTd6Xg7FYa0fYRm8auEKkd7WNzHl9zIGxzndzFBY9i9eFAEPaPtgjEnkZhSDATxiSEMkQ/u30DVIJsyiBjXopaNI0Cr9BEwEdUs9nVsxgt+gdnFyQ0u8zp2YHOCfdojsuNHkqweXeMwOrW1HwIrg+Mg8klZG8tfd1zOOFzF6Ng5DvvvBOo1ErdivxyduIut0f3nGwmnRz52IdbhT2FdJA24dms81Lal04293MSrkMZCJaAgO64JxZwO0bOg1OiOW3UEtK7U+MV8EvfQw0CbUDfOUAYMPebtWWYQI5sKO9yfFA/yfE6jQbdV6N6LCwN8a+3Y3KrccCrm5NjSoiFk5MTtr85kRwmAb9BaLLuUCSoi64NEC4pAosjAReXZUcXWx3KAbOJ7wgwkGCHzYllsQahDIVFbfZVw2uxHkejTDwWpEPWTUweZzdhjM7BuaoiYnMMzGxXLFiKv8aQid99KgVqZgcyxE3Eck0lfuY+xgJwnVxwl1iXydmVvJUb8MEJk+l3URVICMwEZ6reA7DO7Cy81U6b6KuxV4Uzry47Ntk8lkftjgBGvvBSGDLNoZFN0AH7d3CRj9TzgD9hGYIFahaifh4+36zWkjrK4ASiiSCjcKkE2V04JTqWjis3QeEgwY0+LK06I3riEjk7cDfRRIvDntggmO7JcXmQ7MMPP9xdMnhyqMJu3wCPlaDkuEacxQoV/MPuAIhZEJg0R6INT0l3mHICigIQI5Sak8kW7mTcuwunXDnfsqrT82gLG7r+r/HRF3AVzCYKSPNnKuVymj0VMVr2UkUj8hEZdHI2WHd0LBLn5NDTaJHd9ew31w3bXcE7alcwAZSHgAM6YNqIXYfvPJk3zq66Ex1qHtHMi3uiEByc+cZgAUvAAixQeHAxkmmYiIOiTi7CcXDGLBvWnEsXP0+l4O5Oi0jYaD+zoxE5Tri9b8HNEEFzjafJsZYJX94cjXNyyGvSgXpJtFlKRmT2/Q5Nmk43m1zupaPuqVSrFofE3/nO+BAMBK5i3JV+K2PcbaPfbFaNEaiXrKy9tOVoHynQu7p/+OLkJ/gBhlYoG8YzO6htc6wI/GYavpQ4zoP5AMXgGBwseylpjILJ70jV1a1ou6sKHEf3EfDA5kIPMIw2+ndi1IV6kgbNYs5uXLi6xGFgdSgsmKw50A/wl8CyulYHF1xgEfQWDVtkvZWKlau9t63YpUC6aTkeCLuURmj9Zk/T+t7FpTfQ2RfOblKmmlVH+NbskkuEpgCof/vb3052ol26c1Urzsjwxkj6uGbD/KGACKns5equQxl65W176Sp4ctLclSs+Rj3ZXK8hnC+K/epaFWd7+7uNPZyoK6cQTsM8E+Ntc1BoMxCG5yUmEUpaHFsiqHDpVsKx0a9Ok1xL0aI7Ltw1udjY5mJJUXQiemJ5bw4zR/0C5od/YIBEu8LPyPTvuM1CL3WB2giCwE60uA83a4uhG7wR9TbrE+SeD7/foc77pQsoBgFsw+IHvWOpOjsAHAM67LHZ7xjl9hYVwyS6GyDOxXLdrdT0kp+z3Ww7k4H2YnkKbyN8Ck4ALc7u+bO6En/uhenCWg5OeMKCMBU/CQArjwrw599YmDjHvBQL+9GNqBNEEJshHJ1FADwF1NYzBmC4cJU54Dwa7sk1TqeS28IxqHbBxPJzAca2sxvkNmcwn0uGaqDI2Y34eE5EIauN8ahucY5oJMxeKl9ePweMdVVKRrH9x9F3rw+3w8mxTdoVVJXJoRR1+6NX59ywvkeXw59LX/HFhW4Ojk2I6tudrJyQj5zafrP4cyAUxMo4ozd0d6vqpTkelLE5mwg2LCkPDF9v9m1f7CNKsNBuNxwp8GxtmOjZMVg8TY+9ct95+DqMZHKW/dmZn90BAryluQAEW45C2kq16cV5i9WcEVcsW4kgu3K/hV5SsFoJSVhcPAydJtAl7sJuj3sv7UunEmOzO4+hl6KhC2UkONCTTRQZNHr1wSViGCXioJdi3ZFZUUEnQ+aEvIWNbU4EndzNJicpanC3jnMshcX+T+4VEcaKb44TyjHaSkGOPGRyrn0qiGKm765cwrnKyWaceB4vXU1+tvETewHxEXPpaUthzzAJlre7Udbq+OajM7S6Mwya3fl5S0VFDCYNARJY1keeZvBfd4W+HMjsS1TC2S4pCBfjc5Bi5ADgNdac3bFSddNz4Jna/RDp2b3azw5YmB0+Ow8zKX3S9R0lfy3Z9xFkZ3c0mFyWLsyzG9RnhotT8NZS/qrK7+Dr6AF53VJ6MIXD57Ec+lhPLlzDDpwbpo1BaC6hSCwizT9gzAhKeNLiorTEYTc7c9AxWXRimJpTteoZW1z1gGdOdrRhzeH3nKiDI7GyzlnAyS6XxOYvTokG8hLu0Z2QTcLV6mwDYG5WFfqDFO6MonaXbv1C8Fzkbz2QsKSgtDwqUPV6jw6Ou+WY4pqG0x5c3WBy6Qu4+nqzMc5s8+ZaigGHu0QMVToI9wr/zI1LyVFGUe82FnBxPXlRlRf75lbHb3EjUvjopjHdpaF2mwo54kEzyXQIqG8jXg/LFiYVIeJEJ6NzUZiFldxdP5hweIjg5Iyr5vINmSxkgdjaHUuDtnFwc/mjyxJtzsIAX6I6gKJCpgjBfXhK0GdF7hEseW80g8CeLPXJUbIpBk7kXHT2XoD/bHP3XuxY1+cQg9jRfc+4jnSzsxv28cSzc6q20jeh3VQ+8+hKKyx65cmLKyJXg3LmGXrNiKu82282bs3TIkkDb2P62pxktrpS2erSA5X62TbCKGL7QPoncO/hhx/GqadF13di9jmpZ7dGii0AkaSVTAhhGMDJWRuLw4ROpaVA5Gm3nyDHW88hqizaaMyHrDZ8FBtHzHURbXlFL3ayeOo2V9ubiisdCt5LJmmw8mZ/XcVY6wgZug/ed6e8se4JIMFoyz1nV/jcSs+xqrIGs0/F7nBw6EFV78NCw07QhqqEjea4O0A5CCN0HGbJKTyUXlEx/Ewl2Zx/Y87AlxBY0O31S3J9RAZcB9TFUZydJ0dD5Q8++ICcOwynYRIHR9BzI9oPUyNsiwD8k9OpEeIQTZhfzHIQQQQ9P3Z7ncO5qxqhX/AFn92hLrQ7FWcijyV+GOfs0UkD2fd2sxt8c5T2ZJtwlINrmEtSOWyfzUsaMdIazQLF/ha9R5ZFygbx7MUJ2ot3LAcFNH0s5TQC7/rNuoN82V2Qo+oB+03j7+5mi2xSwgcOJSapUi16CTw/OQgntzVYHb14cPECfR599FHoBucSzEC0haRgtGAy8DUwA1vuVrxeodSDA5qRg5j7s3RwzclBCkDhENDuavtZ1QtXAGh2ReAL7i6BeeVWCc2KIfFOUauj4ZLtGBthFXZcvNx04+ylpv+Cah3cB4FjtSIiBRYCs4WwthI2vznPJCSyOzdtKjatXpS+QJzZxphmrTu6PZ/FKVzNetnqQLPI4kOpXB3Iwu1hwKGn7Eo0hmw2AItIqcU+stx4dm8z0kNIOSekCY2JAHaW6Oz8WHhSGOrJhT0qVFhKEmwESsa/loYDYfP8wlHH1tXslji4w3TMrdMwcOBOXh3jEMbPjQBrCIh6YzWMljU5ORSvApWQVxUjq4ujLHRmnxxhuIwQKGEIzgeugMmRu4w4xyVQKcTbbxpL9lKvO7QSZ0UYWBVqMXZEoncXJtyLlpsxhM6W0tEpzGMuFeTi5N4dZ9FsQ99cTAHCPbsmbHMmCJkIRBVrTTCaRyHI0zYHjYFQEWoA88QjnUsWfzU1gwfOrjKPADmV0L+pNIiEKwSENdevP7uODTn4pAXwBMRr4szYIOaVfQnsg1+gspwd1FBlBad9LfUWWzGJHehXGCNKNBQiXNcSb7S6JGloJbai0G/0u730A2ul5UEk9FTsq/y4FK97jDeRGlxTDWBBCZHFoePVxWF4RRwgWYvNsX5JeoNtB5lylsBMU0mN11q99tprsZtPDpjcXNR0tlMlWTf0A3/nnXeCacIscyZnF8tMXZPZ7s7MtDn5FunGspB8sbm7bHd1MTaRiKBeGlAGmWQxtcuhWppb43tNVNnJBUQj9YJ8WjEThpvG4/nHQNB42pGyhF2TyJWhB04i+1tx+YVgM4EqhsLVeulUFql3diZTHTRKfn6MDjGVsp95fjMmazftdWFdCSCOLFidOnzrOQyJhFVMU4nSfv/99zFxBRoSNEwAKgPupcv3PmI7Oahh54uN5vGYNcOpuJhC0GdHfvI5uIIhSsbuqgI87cJ5sOH6e2l2t7qOUryx8DAMAvdc3ozrqXm+jxrxiPij64PW4WXZ82OMoPebNDWj1IceeghEqYeKhBeX1cfQsJdCJfnfXtwsVZxVlpZlrVwhuxt4HjC+2VcYZ0ImUx9b2VUrCimvCNoL94pfoVvJDZ/obsrarA2sTkSrQvPkapp33OAEbocDg9dFGUqeEj7g2R5xSBMTGpzyymUBoDMWZCsul6nYuMP5uo34i3X+oAJwC9oDJAv7iaKTOe5uV8vRBWllNbDMTa7Dszh9ZnHH0/1mClO+r618qEtxHDkRsKvuVgBVCIak2k1r562trbB6tusgoHJ1isstEgmmnootA2aDL2WzZ6PZFgdrDL2G1M6l1jk8htD17nDQZpB3KtVpD27BgrKGUAD47yXbO4Dm4KZOIOVWSqszKjy4Z6dswDvRKI8uDXIoRYWiDmeC90qPu+a4P1YSnb1ZUOYu1vPg1imTPRm7y93yBSh26Xqfk+PfZ/dTAedFzTyVClt5S3cUcSs9UZbs/eoUJWL14bdAThDcpeuUnkuW9+TqXux6mETFWwd3XOH4ZuNPpSjKVGy4EE1urF7ksJPJCbtTUa8yPTYsJseqUQYLs+7s7uqyEc1GoNV1E+ZiQdhtLcP4hEVmdl0ofk9sApZMXfb222+j1cMbcGDARdBS0UATVrXbFFK1nMkuoJzAqTQ4DoZB92oG2oeRSQaVVGQS+iYCMfGuuLkAP5KGOLVaiT8Oko7TcC4Ot71UUr1fjHp2aavETpAWxxJwvOLJqYaTZfjwdSX1iTLn/Bv2FpY+O0t9vtlkYDKuPLsFyObonYDNrdRvzqLf0oRXJ6Iwnt3JmZtzm7JV2V3QydmdE1ZnJq6ltsfZtd3PrsaWAuOTDQ1hqDz5wQcf/OCDDxIMAuWhJzFIrGhXLgEXtnTlBvSVi3ern4FQUdJTS4cTGKGGSbby5uABrGvROQKPpqFLdqvSyQMIemnFDBb5Ey5zSIPFhA/00q4yO9oHiudYb6UxVXY0hPKHP/whhr7ZGjv/mynFRxael8HFYIFKEq47u+h3EGLmFtkXg3J386PgjIr5dpsTo4g198Bpxa6DzWVxTYTktgfQbC7SBK6C1S2uoBeuLNiuC+7evRs5G7mJFYqVyWiB1bO9EdBTeH+kSrO15crZ/ZF6Wc+4lSLBQ3OTu/MBuSSdcBJMria3uFwK2COz3osVLdI2RFb5QndB4T/iPkz7J7dYwVB24ZZ8J+f3hLCieQXi5QV8WRxK1l3Vo5dOmYudMHMxanDj6vqRvRRwmko/oFu8KgQaLhhe2It9KAR0KtHY4UyQSysmb87Mldv1nN1BCUNR6DXwFjrGgE5VIwmaCOs4lcOAQX7NdpB9BHtx8PLYHI/N8b2XrrFzKLFA3ToaP3Y33dzst+Y5h1HbjGGsjiNlbRl29uXgzPU8/xaLukVkgeD3NfFY7pHQyIXdxXFgRauL4k02IqylZODmghDZ9Yi/jCDQai4GqgRpHJwTvNjo11xj6NbJ2FyKfTJUjPxd7Car4vjsGIG59DzPLs7F1YjKvdxM9ezuoNxswAzHwnAKLUZGQ3mUbdLsKHkwWZk9uVvYZOtUhn1yuhjUUAuxnkqbk2AjFiGOhHlYYsPXgVkX7sHRXFLv4NjoqnVWEz9BnYsr12MxCSSdiqa1lCr2lXAZ6gWdKdYSQ81OkGCOFgpy//9tnVuvHEnVpiMys8rfaG5msLuh6eYkQEhIgMR/4c9zkLgA3Cc3tOZi2q7MjC92Pn6fWds9dWFt712VlRmxYh3f9S73eCkT5CyAb0Gp3oKPaAXzWV97etiNpTWaClAvAMsXIdK07KOB8CMGuuM5JHBNIcj0zFoIvVxTI6A1aTDRCmewlFjMniwGRNnzl9PeQa/wLnRzCsS81BSsVrCarQxp1ttFRtk8bhVD2dN/PEpq4F1GCrwo3KqAWwxT+C+9x2eC90fIUfoVSPItesAIgMcVq9ULDNNw3o/cwuW0FtaCWyh6b8BmrGZPgZ1n4hbMuA7pfOu0xJ6ttTQxHwFaLIG+uDE+VTXJ5/NRnH7Qo7AUXHwPGbViqrbT5la92EPXsaZjZC+MrphyFad6iOPbChPTI81wIonPMCaKPpA6e5R5cSO5uvlXyEUe6UEdSf/spUNpCUWgEWgrDWSqwJGgmGOPcmIF2HsUDOIiBavu71lSDGvKo+rOR2GMwjof6brbrkEQOksawZGCdFVUvWTanvKrjF8ziffmzZsR9AjRpp/k61VXbicr8oFxcY1qKsE7c1H4rBtzBN9jZFdrWIIU+JTemy8ffg82S+Z7Pd9WijxLScYYzHt7HFzTHD3zI7jIeWWllVRKube0DNFDQUc4xvGRIepbMGHGYroQLzJWuIWVs6r820Uugq66BUeOD0NSTcVmKm4EigM44m04L99lMLGZ/XvGwt/SaULYuIdZpBffup7qUTKX6q33fYWElCgxqpKO4jAXTHpjKVzeBudiENQ6Cl+7uqAe6R4eCf4NHlsK7HrTa4Ev61fVE29r6Bk4gFZmKVAh9aJ9bJ7jMzQEnge0EaqoBdgowm7EL9aYLlffAS3XODQgCFjA9WKrJ6QyVaaXTWpgCwrAFSNIImGmW7MkvvY4ATdQ92tSRsEj9asXTWVP3mGEQ7qHOKmCxs6M1VBJH5kHqyptJcuzFiSWqkTj8ySzL1++5CsfmVxFeuYWSmP8UN3eW9D7La60dldxWVMImleYLgjVUHtIapSHZmIbVCG+WpIg+uBn4KP1YVrJrCiOo2C8UPvaES0gvghZQXydXuJBYfIqSB727fe4blswOeaHl3AqGWL7gIalPLu1wi0d2EuQmezTo8Caac1QxRrc6f+ZYNPA8UJz9/imNnmDoTCjBipdA0dUuKe6OgpCs0qVvqme7pM3Mt1PT/CRNnO5rOhNo5fQZfVr0J/3sHSaENIezbV+9erV/LiOXr/qHo+wVa0XT98333wj4duSHIFnQpNR9a2a6SyD0JcyiaR+1hNflUFLAuUeAhmt8Miw9FYm2HpjHxykLbM2YYw+S/aZ5ORaiHT8+BI+N608osmffEw6GijkHQG+kiXCe5HoQYvBHuHhtIQO03smxOOUIqBLUgPjysryyOS33l0ULL0gCbR91fxpGdUv3NiTPpre+lSJJmY4DVDsTWU23/SXv/yFz1PO9IyuqQqdASsbc3lke1j2zkTd7pC6YT6wHQ1bobKtEqDVGwXd1QLIWQo6vrpN1ZlrJTrbC/5pS8nSpyDhQqWBSyEf7Pqa+WHbVQHDfcHZEhgySq6uJ+uxJPMpS6oE0meBy63pa2oJ5VAnbzNbmdlgVq9dB35eA7XdgpRCmNarXx59hkfhG0DGEjO+zYA79IiRcnWk/K+H2e1GU6Br3k+MQT9hKeZvplTN5//HP/7x8ccf//a3vyWuxnUgpgAKMq6K7NtrziUyXjOZZ2L1Kuz94sP4+uuvdZ50Y0dJDbM9e9qv3TCFxjVVE6wlNa/w+cxnQeD0Ut7eMxHexpv1Anr7G7aBUgwnYbvm+gHgxnZs6QTxmMnBZ6V5C8zw/2ZSNTfPLZmCMlgeAbFhUiEF4kFM9B+lfooUQrHZUt7QO9T/o46CdlFY+dP87Hyu+XH8xVYyn0uQASO5D9WVcqbD8P5LpwzV0BH9waGcCg1TbVWyZZDLy+tFDow2lfnXjz76CDTcixCdLSWnBQBovvnLL7/84Q9/qI0nK1j3eySa1X9a4uaPvAwVW8HqLCXHViVVx6slf62KMvb8oDyiQ6bFRzlpcR4ZMnVc7VaPzB/gSeXCuKep+ggOuwXH9zYDUbeMMNkyT+8WNh6Fo4fZ7F1pu0VbvyhD1ACstjKID1tPPMsd3jOEhtVmxO78zZs3b7jyIz0a+iSe/zNAqRF2yVY8Y+X4yWPjzz35DIvQr1+/3gOu/c9//jO/+69//auWnghRshA4ZEGuGR+9LfyArP5yBTVTqngG7sYCnM7ZB77UKDPoqrHTu/Kp1Cgtyd5eCvJrgXmhtFV1qGHlxmWd5xvn+kzHy17wIepgUo4ofpsdlowf97RQjblnDDOizEXO0GeOYAcemXC7pVNtK8R82PdHODWxWeo5tANXwMegY4wYGawiuwz0inwVpxSzvqUJpTpw7kgPCLF6HWuBjz+tACS7e0r38yun7mFWO4Er1Suj8VrvA/o930Pgeib/MeXMAJv6Oc+ghf7AEXGVtVweFBe6npjtwnvcS+upmkBvXc/UkMrTpug8QsFlhMXO/VcGGqr8zqDhvMKa9pBqVY0KzSRBjIu7LfLYvImOl3kNIzuNFGnqtWSnPT8+u3GP1n8LhJXz369+7j2D9bRoZpeYPP22kNGfqddVjW4iVKvdw5Cj8367Onz+38xLVBFjJqeKooZoey7fSrzQMnywX2HLFPYpYf/+979ncDcljP6LafJYTbSgNDpHwAhnEvS9AKq+bw3XYEI8PZowj7uvXrJ21d+v77kFiX+Wrms9UEuijea4DPYl/uKgS3CFomJBwVQZ0vcke48QX5sx54J7aqMvMjT0CNTbJRoB393SSromxVr1xBKi/CUot1v6I86kqfD0RchwzsnoEgqgGkahbNFR1nnyDkcJutUUPjgPu9KS+rh6iaYwQdL36aefbuHf5rWnBconqQ5dT6YENcA4MXwItCsBlMd9Ty/Kkhh+C6hN4dgys8S+tCOF+hb091IyDq3wiWkZPcQawVFefteRUVumXTRPZwgNRSVAht5TwDnSZ/bI6AdU6Ugijct+lyG8LzIPeyTgQBnQjqxw3DMzYsmo+g/8mx4oAAevJRTA0+JOIF9guTgVW1B3JPFxRSDQqyE5m64MjRIJqQhqvKJtWUJa+0QxQBh4XrPaPvnkk/kFUzHSk+kRVIZYrEe4KIWCjBT/t/CAr6UkTqpilBp2dacq5snCy5JOFRzPeTP3zONT1avnqqdSn38rjKb9e0PqtsCbDA7ks+slnPYsjQwCdinNCIykRaze9KQZR/AFPWGsiqSl3kr9A72llaEb1riVZ1TbESSdQfssGRLmbcMI7+l1eUlPMgcFPhys9p4Z49UlrwppKZ0Na1pC6hJpzZ+U/VROcBLP/8ywjvGsvFsuaLPDS4CmS/AenI976OcFfrBJ8/cMOtzSFUT6x/sgv0+wrZ+3BfZ6C7pVtcRJbcEF1MeuqaC11BCrVzRKQDAKYIuTwxJT0+CXfAuZKlyW8ZyXVkuhk6Q2QkBdOhwaYmG5xDVYKDYLL630O4y0sunAqe91mKiOk6kCHkOpke2QUIiuaPq5p3jhSa8FMHILDcxZ0N4eif/vS91xFrDJU6lmCta7UGJ+/vnn32Xaok7VFsxdjUJb/N+ecJJ3Tsf/5cuXTNedag+HEdXNTBFQZmtKeJxRCxcjCfGl1NK1+tZnRgHsPjKMeU2m/ghGxbd5tvR2ubjRPr/cAjO8hyiaaJR1GKkftzI6q5dqidvcCsfVER4bVMh5sSCh7Leg3FS0LR1Q/qANwsveA4ZrGeS0lfGtrUx6emQy43cZ+rpmlgej0UmztfCIcCdSf1V7sj5vKFfIRmoVrt4akMjTIExyGDyzEJEtiOxRkPNYaDeJ+vQRqBPeOmME9mtgy/++Xj/+8Y9/9KMf/eAHP4DuZ1yDgOebeVQquARcwybasF5zx5xyAbKtNEBrJo4yPaX6nqoTNW51OdVeS+jwq4arHmtLGGipEVtMvesWNscjbYxHcGC9JET2NAD2NMO8CL3xkVFHbuQZCiDuE8oaNbSPppeig2Hq5F74t0g3kGXkkAOIwNr6sLfrdc8EBk+dIrWGh1GDaI21Jwtzu0CqK739e0FsbcEr9rTIsRAj+cZe0t+jkErCOE0m7P9cL4QGfmVyFnMzXr9+LccwAk6r2RQ+v0iF39Oe2sMjOkpYdEuDNe7qmuT7EWrvWekAABYPSURBVGxkNYhVUXn/Loff5bZt34NPeVjVZ55UrAyauJcmFvVWD9PEmeE8OBsm8Ex8PEJ/bSyyFoR7C1NDL4nfd5lzWyOD+vFq1vnr3B2cMA3UGQy+EVtPVvYo2J4jI2pGwVoeIehneZ+keWoUGnLUBI/M+sErPDIuW49HGV/CzcK+okgpJx9loOGSRPO4CqhcZJp59IdDe5EkmjKoFJk7Xa7MqrAtZc57UzOb4NFk86qeUC/5VRYCjgOjyOWCKaNNrRI+QutwK2RAqpP1mjBj/oJI9gj2RhHfgpZRTPlZJAUj4Hw6fkA70g5PnhmeyD3zpN1v9YonDQ4j7hkVixaYb5uxmmaUZ9TULgUKwBMdZYCtVqv6WKaXca9XngQnoMZct6BA19LgweqYfe6pVj6uKYloXY7CfrG0qW9N8bFVlOtxSOeTf/31119++SVbi+KE2UyM7yODepUzkxSmi1qSQHqj1Q9YSum6hXTAW2IyCoajLuhR2l9ta95CY6E96heQYbvokGp3qOEbDrs1b8+weujISPZRylmqSaTZgM4bIyVRx1Sxg8S2eqVLKcXeLr5+xjlJttZTOzKjpLEeJY+t4q8OQ0+o24oL++T/SWNvGrqVtq3jqhvcQjrVAk1phYFjCQCrOrl66D008UTm2DUfex4akhqcJySSsBHacXaL8SrTY5sWh94h/T91ksnDW2Zq+CdVlM7mKFCIPaXuVth52FQOAEfZMYv3MMa4UOtF9cmRc2LFcpXhbIvA+h+ZadBL/fssiD/f0FI1OtO4u4UrewsnlgmXJaldtO8o8BDCo3kbYJPmApruYpgZ1MaPtChqlM/Mkeh5tZJJ7sW154NmFjsjTxjzQs1Ia6IGxllz6fV4auzdUzlqJWRYw4J/u5pxMSvMXQLsNR0yhKnaiHGViaYC++qrr6bMzTfjbxJRTjU2948BmZx+VtbewBYP3fLAUpLvPBQPfwZQr9GxDFBLJWte7L1QhXsGQG7BBgr38ItQYxQtTDWPZMK2TMXdw8jd490rdloJDRAyaobCughq7Aw3HQ+ONedtGKV5Ncr/xFgON9Qp3NPB1kovTCuECR8c5hoVGT30KzH5vpkCLYKhPQI830MDJKRkKdB1v7gGBS3DVHtq75zmb7/9dk8nqrEMZoXleJeJh1CSrGmqJN3CnM6WOGVqgk+u14w3twvZrHLWl1SP+tKz8U9bgUtUj6G6UCZc1jLS91Hm/LSSJ9Q90KnAVTAUV/1gf6uz2APKJY9gEOBunYEQ+nR7UDcWtnEzOHLM8CY9hkJt11CnuZ5IHqmAvZBG1eO0lFz/UYD/dRl7yUW7p+Qmt7k3t7Q4tiSNvNElpNxnWnHYhiWoTr9G5amTOz/40UcfzV9OsfDYqXINN8DezP9OFTXPEIzW6DlujGemTHReDDtTyBhqN//92c9+Nt85//rFF1/Mz4J7VG/XoESXhZc+eC+8A0s4avbSm4o1xy3bMpRwTzuokjpS1SZKxWbxTgJnszlKXg/H+poCJeujlJwX+THewovMkm1BoSFAWwYftYzSsIeHaInxx3OtWGd8MuvNeia6g0uYzF00tTjJCINQXfhqMRG+lWSm8cuSYa/sqHH7GjDnHl4hfglxPmtNoYDtpPI1f5gmTzjHCNfFnhLsfFqGEpLlqjqfo4PhwyFAEW4XxuPNmzdkNFjx+RTiw9akHEeScJ6EUUATVchG8fFh2zbUOpITfps50+/CM3OU4o9lHFMVvRBczTdMiT8yB/QMmYCB0ZlCmTlYQF34BmvhdBWC0dKdq6ahLif0HqnCb1mubPirV6/OjDttqbeyWa7GHlLgUdLLVQTJ3ZvU0Fj3ZLnm1eZePPl66EY08yPDXtzdLVPRl8zSxQc0xQCr+BFkqWV83A6WD15TIzjSjMwSx1XH6vPAR3oKCC2ZVCg04MyMe6rdU88xxpf9Iw++Bc/0CBfIKCGMqlu/Xt2OeiCg6cU/XYL+QIUbHi6BsmnszB7pNdZkCp+tlq5uyZp2Vme8LyGDcPF5nP9xvVpp2yIds2UQa0+ynnSo4d5cK97JquoJ4OObUVNcpg11DCee6Fmypv15zrlnKtHTpm9hVvlAFXFPYImA9bUwPz1Cm9mvyJbcvQj/tTAccSaYzYc4usrtKrJOW7lm6u4aHhWjnuVKIXr+eiAMWl4893EhpDltU1incZ+eBJwcH7TmGe33Enb14D3WMFNS7jCvoVyaxrNkzsG9h/SB9eEH1d5ZagyPsMRy/1gls3F+vJWKWUsbIP6Jlel2BUPcDMs7Susb85U+++yz+9UeyJ8AHx9BGPNdnhzk8kz6nsP89hpKwiIvaVXSc2glC61XQBryKUG6p7gNJ51mq4Wt1WDB+z4LhGMppdxbJuQuBUfRUtesyua8qmYjbDbeK34VSvgRNliRBba8jVTutjCrsOJzQf/X9cKj71doNrXa1MqYADa4+tFszFIasg1p3e8lnEH4MUdgWK3QprX0W+tILela6c8HIKAeEMeetiVsDT2u9wwKASuBP0Rq4F3G0/XMYtHfIq2A6FC0nef29evXsPFq8XsG7+xhwu3JcJIcuIcO7pFByfqsZwrwSwq4Nb+1ZYLmEyDlF7/4xXSugetTb9f8Y5tHfEmBb75Ug1WL6NePJDCrU4V2RYAAOlP2HgEgGIbU8FV7sV4J7luh89cRPAMeH1cz09RY878ff/zx/OFxTZU2ZzZSuOD2CLlbklL3jCHVddjDrKzn5xK56PdCYYLRwUNqpZXI88l/OSQ6VT0Q5xEMFgaRM2MMrtTi1PIt9mvMtZ2CNf+dR2v+Ox95OqOAkluYajjVoBdrGny7Gj1UqK0QJt4KRxLHXiu/lhL1GlTqU+sNNKZmHBTVkcGHmGeKlyLiP4ihzFbsmVuMJjiu7q4jtdhxATzmC6Apg58sDhp1HqlGKVU8m5HXlhq5CvJ8XrJFc5DQpxJ6v2ga8UvUWKgHAkzYK7jDpTSV16CylcwWLzsG1Fj38AM+C5EupwqPwuwgODNcjuoC4n5UQzEuNxzZVdy3tOqbvkZe53mj5D9X+PPPPyengP+Ewn5k2koL8vhFaG2OpOkRL+7wSLHfHDI/kO7uBeV2C+nIk8/DN90uHA/ptZExnmbYcapcXDtPsJjzr0zgvIeawjjFLalZH67cg0I+C1ODdnMJRuAsw1r/K5NzR+rQlDUBuBEuqET3NBdN8VqulOkUoGkafvnLX3Ls5opPfcZmczDmNkzFNmVxbgkSz1P0QndxPJ9L0JOnNsoxB2aeaVxRhTiWM0iyPaDte/jce7AJmLnK00csjDUk9cgy0m9M6mgpkwDn26au8maW1DofF/diS93aGJP7pPJoHD0yVkKV2ZNMPtMT5gO21BPxHftca+gAlhAZiPn3vI5CbVXLOy0dbZ7vD1ofeZHOaelDPzMRVOu+hXGEC77NQINWwC1bmHqnniPc5U50h3sytMQcFF8fwX1jm+aWECvNpzbPMv+d8sQmLelKmkYEdNoooyJ6aGdGXp7vVnKbaCyh7loQXRAy5t9l8Cn3ebs64Ujj4XpP4eDkUKWpNTc8M952XC0b/H7+MOVpuYbjadB53TNzAFBn1XZL6UAhcHkUOkWkliS26RXFawTdqs9KGNcR+V4IEY7SU8Yv2Tki2w+01xZ+RBxMTQPKVpqDFhI9H7WVBCbGwhCXk61/1kJNgTmgL6OlTLsX4DzOPu3kbAme7JIX9zAtBTuBoqVRYr2a/acOR+bmUs7P/u1vf/vnP//pMVCYPHIqZlfDjedPqKW1gEyOMvxyKYRpHBuyVohahbsdV38K9zDvc4Z7tD+BTZrv+fbbb+exoboMPIlHZlmo1ep1CNfB1alIG8gvAbtuqfGjsfYgiIzf/a8+LlL79C0GetXXHt+rsR/Pu623cOWMEoUehfzUL+4lr81XvMhA5TMF6eU5hf9IqGI2lTejbJAe3CBMT09CiNXkfM8Vp1JmRKZWrru4lz5slpWa95Stn/zkJ/ODf/7zn6ds6Y60At46ggvYSj97K421Cpb3rD7GbdCk6g/QpWLkSA5pPou5+/nvb37zm7nTX3zxBfXWV69ekUeo2btbCKflvaG9RTvTnmM3VAdLkvhHSsZnSpn3zAtSDHh8DoBOy/s8H6lLL61RH+HQWcNpsYXx50xRYhSqcUz+SEC7pn3xTJb5HsJWXS7M/NuMOh+pSalBVUitcGuxUo6c9KCYb3sR0lQThjw5e0bEQOVnLSyVbAnajhB9/uaPf/zjH/7wh3nnX331lXV376eq9lHy1L1Q1qwpA4hKcOm4Q+ArBE/rRVY9/4uCUVLnc013kMIosd68Q4zRy5cvp9jN1YDqTS1gsoos1FqY5VrCUlPWeAuGWZzMXlpdeknaaS62MJbXDDAfeUovEJKMUqDYQ/Wh6JwhAniky1uvsIUmoH6Ed1rNGAn00DHkkzTqVUZ9SK27LChqKbtKEDWjp/2CL+sFM555ubgIcWYpKaKS8U44x/j4o5Rf+Jkmlrmd2vHt6kxvpefW0O8s8L16SFqG2xAYqpBuaaRDU1IwJhHVUkrawnjwySef/PrXv57vnPcz1eff//73GZFQE6Svc7nGaelC4U5NWdxD1bdexQ/SE0fS6zWnQ6HmLFAZbgM1j8yhZcgMIG2uWPse8WyXwZKP8doLZYCBD1bpVkjrq5C2MjOCi/CzKuoIenVJifoMf1UrtF1HyTjzy+k9tDLotpWZ0Evy4GfYeLkIvb/zl8ynXJLQ9/bgpZUdH625Z1xFv2DTSMPvf//7aWuMt6e2oJGJ9jh17SOEffV4ENivyShupYB4DwPUvEPmQp5hWMV5B/41rd5T3e0yoNPhE5hAGrkFIoHtc0H2kAodgRezAmQA9sLq9oEGaqHgJuZA7G7P29T2sCC10mDcyxTw957Pi4z08AtU8myDkcgteHOdONVm9bF6qR9pWDXno5TKue81naJHoR/uAX6pCNdwNrcr0Tcy6pLtOa5sr1mxEaaaLc2iKv9eYkwiI3ShKnZJY7H38NOf/hT9B2KR8iVTCxHNXoplHsX9Qo2+C5ngmoLjnvEIPNc0YdPOIutIJF8n7Gz6UsATZrjn4cRpo97HeVtS/iKutABwBG7PLlPtIABSXe3hYNZK4m9Uu6QeYW0FR/XMj92CWHz/jMxkX1IK9IHX5Jf1u3uycLqxVZ+dz7PkI8GCt6LXtZZioiaDPa4u5JlMunHA+pxJhx6mimIjd4wzcQvxBJ9FCqlRWJFYQuUzMmAW3dNDDcrjzzhxXMG/cB0wHXR7zgtONcZlNYV4kMBHe8EWa/RJyc7Fn6aWXBEt6XhXWDqeZYrdcmUByNy2AByWEtB9V+bRHVddC8VjNPoiEwNUMzqLW+qDLQM1egibWQpMpPvrBnGM76WL2Gu+Fyw/M0royLrjX2vXxvMh8mdSRKixKpHVCKJCttKkax5BSz/CU9DKNE135Uhd/EwOTAO6hl7Bg2uYyZnj5fr25NvOAGA8GyPJ6/WqbddzQvtUu7ovyUqMRLhoROIyEVdsDxQuR8YWE4pPw/rZZ5/Ni+DhkQ2fl/rmm2/AhkzH/B4Kvz1Y56V0gnhjygTbdF6Bs9ASDU4PQLQlO62ziK4SG6dmHVeufynd/WfJYC3BdJyZeGCvgJbqaVJj9XJURVWd6qQvGXKkIC6lynaWudOjhKNLCWhHWlK3go3ETyILp/O+p6N6KWXsXsCWrBem/Ahqfg8+kbXji3SZ0WG6Pq00x74tE68RgpbuhuVq7rhf8wrFzNAnM688feRPP/30fk3ewz7iqYAmmlf+1a9+1QOtmdchYwKkdsoivXH8BjF9hMByXCEz+thD+AjKWf+BW8KnHmG89sy3tG2eaca32Pd98+1Sk6nR01fpoCOW1Cr0kq05dhtcK/FaK/iFHgdWga3iXL9vpOHT6HIpzUNHGl9143rcSY1dS75Hz30LC4/+vpmSJVBEZffxfFiNGl5OXlbzuAqXt3T7SLSv0C8pdZ+Fud5sCN8LKd55ZVmnTPSMkgPOSrgw5W++E266KVVT5TCiggmA02f617/+ZVeZjV/tSnZYkidFuWbSBLulxhLgYDd5v4L8IzW+GrSi85Q2VpWuIf67F36Ht8+Zi83uev57weY/Qrzbk+Hzgn1q5lES2b1MwjGS7M9x/sqmbl0PirKnROOftHprSt3G6i2ZOmXOG1jDArUGudpLVOLtaRRaJnygqPYU5BGClmSgv1/CQb0kHW/Fo6XRuSXVuaYFZbsasAgz58ZQtIC2qV0Jtv95vbCYOMLTQ5pON5MZ0GdHSOTsGMP5Y5GnDnuEImpcCXorUfoD3B5/wg3vcXFwko5MdehBzetT6jCMzAk7k4w9Upe75aVS15M5S7RrSUclspQKb5/O41EYTnphw9UCjpKrWEqmfpT8ZC9NCmcBb+3pKDTiO1JvHqUWqSrS9zozxWUNJcaeeW76f7qivXDItpQXRupoZF+OMHIr1m/Dbaf9HWHg8LC5OJJLofYpm/TSqLMHf8sseDaY4ukZhK23JC7DPkS0yJKY9AzyyStLjyhSaEmejFOxB4Zf19wwWaPRC4B2L1M/UI0EMcaeRmZnxj+bTkc52YJ2D0cLstV//vOfq5Z8fd/YjTKtuSoMPTB1oAe96jZV5V7q7UfwgCP5J+5S44u3i8RshTJgBITYEtRoi93pupQ0nK3BJI30S+IJGQ+CoXsRIm4dCC0ywKH5S7D2VGfxrsTf8UJ9graYAgFUgUfm+i8uslACqxpeEev55iUdKJ5GxJQVgKfT6EHP9Sw81i7+UuA96pFWMojc8xrKSVLZBje9VFNGaR2w0KmovTeOv/vd78xzqo2qrhqFcr2qtA9M514IWDhVH9jQVvJpe8rYVUEuqUn3+Pikxf2KJV21vcRE4zkLtw7+UoB1bBWnTZ/pzFjePZC9PUB75NtE+RLGJVwoYknxlgL6tuAZW8JVdA9XwwMbGbzmAIhxJTiA/OMM9WsUj87iLRTwLI4ltSNkAgJJ5p9AEI2UXzzwKmZ3SlNwljzRkfxlT8qwh4tB50Gmj5b2uCWdXfo/T6YTaLKeitddAxZ1G3pSi9XSeS3OHD5ETcKqBdmzUWao+gYPhOX3loQ4aTbP2VnwXr0EMr3MGdCkPgo/7H6hxbVlW1By+CikDUdBc7TUDx6h/cT1oYvkLCnmKTFwN8DqO9LyNEJWO2Wa5CfLS+WbRNF6NV0u6bU33W+/MsdgKkj+NC9LF9eZavdWoGzccLuaCVDSxzVKUjexlmtcrpaxVrULrV+hADoCyZ4XBF61B7zakzjkS6mSsddPFuZPf/qTOvN4zoDQSwpey6gj4tYqXpxOTpW2yb9WwXItFEpvaCSFofEdhaW9J2A5k1a5Z7hDfQQu+10mvuKe99RTOdNvr9cZ+kZk6APT3worwVH4MvF2l4weOkOM611xMxajtJKtsNur3dXfOp2Ii1ZSEcSn5gFHwv49vWg29gBUr1KC0KxpUBtJdLdkbbSYLZVQv5eVwaBj8sBcoDhBA6yhRGA1pov53421PZiyr5CaAAAAAElFTkSuQmCCAAAAAElFTkSuQmCC"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(xtl::xbasic_fixed_string<char, 55, string_policy::silent_error, char_traits<char> >) @0x7feba0a17350\n"
     ]
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(d_image_grad_bw3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To get maximum contrast, rescale so that the maximum is 255 (the maximum brightness value, i.e. bright white):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "double amax_d_image_grad_bw3 = xt::eval(xt::amax(d_image_grad_bw3))[0];"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(xtl::xbasic_fixed_string<char, 55, string_policy::silent_error, char_traits<char> >) @0x7feba1adfea0\n"
     ]
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(d_image_grad_bw3 / amax_d_image_grad_bw3 * 255))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Rescaling\n",
    "\n",
    "To inspect the separate horizontal and vertical components, we need to rescale the range of derivative values so that they all fit into the [0,255] range of the RGB space. We subtract the minimum to set negative values to zero and then divide by (max-min) and multiply by 255 to set the maximum to 255 (and scale all intermediate values accordingly).\n",
    "\n",
    "We can then also sum the both components to get a slightly different perspective on the above \"absolute\" multi-directional edge detector."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "xt::xarray<double> d_image_dx_bw_rescale, d_image_dy_bw_rescale, d_image_grad_bw_rescale;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "d_image_dx_bw_rescale = 255 * (d_image_dx_bw - xt::eval(xt::amin(d_image_dx_bw))[0]) / (xt::eval(xt::amax(d_image_dx_bw))[0] - xt::eval(xt::amin(d_image_dx_bw))[0]);\n",
    "d_image_dy_bw_rescale = 255 * (d_image_dy_bw - xt::eval(xt::amin(d_image_dy_bw))[0]) / (xt::eval(xt::amax(d_image_dy_bw))[0] - xt::eval(xt::amin(d_image_dy_bw))[0]);\n",
    "\n",
    "d_image_grad_bw_rescale = xt::sqrt(d_image_dx_bw_rescale * d_image_dx_bw_rescale + d_image_dy_bw_rescale * d_image_dy_bw_rescale);\n",
    "d_image_grad_bw_rescale -= xt::eval(xt::amin(d_image_grad_bw_rescale))[0];\n",
    "d_image_grad_bw_rescale /= xt::eval(xt::amax(d_image_grad_bw_rescale))[0];\n",
    "d_image_grad_bw_rescale *= 255;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Horizontal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(xt::stack(xt::xtuple(d_image_dx_bw_rescale, d_image_dx_bw_rescale,\n",
    "                                                     d_image_dx_bw_rescale), 2)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vertical"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(xt::stack(xt::xtuple(d_image_dy_bw_rescale, d_image_dy_bw_rescale,\n",
    "                                                     d_image_dy_bw_rescale), 2)));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The result differs slightly from that in [the original Wikipedia image](https://commons.wikimedia.org/wiki/File:Intensity_image_with_gradient_images.png), which is because their gradient function is a bit different. Their matrix gradient method smoothes the image a bit, leading to slightly less sharp edges, but also less sensitivity to noise in the image."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Combined"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2229PaxmqGaEhTlGu5lKNsM/L3zJVWucFC5Ev7aK2ovgoJrSfuIyQSNikNW4ppnvG1aB5mxqkZG+YaA/LgVYjx+Z2bmYToNeGEnrVcxELX04weiq2lVhNonc0lQ9L86GHHtpVQBU11+ObSUxlekItpjYsR8DM/fffHwb5+OOPo+Pcc++996aF0E06k9ui/eSn8JsIE0YVu8ds2Id68p73vActGnjmOewtv2ZB04G0Bp8Kx8r+SU/aSkiDuXNlV8Gu8hqAE/MhPIzzlfIu6qHRFAtJaggHaJzTAuf+7BjsN2NOh9o4Wky8HMtJXNRs8nEFAS3KO9syflHwI0XB2hwquiujzUVs2CbjsCKysTc4U+7RAh3R7GQ4GKFhpmXrvanguIYn6CvYlZlBas2xZhU0h6GyKrQ2xavyLJNiP3EZ+fVQ7pSpktBmkzszlqx02FKuf/3rX889GXgm3HDSjYz9hRdeCK3kSky2fI/MbZEa+jBSyg8bbj98uLlCTBOXsLfMZ37qYAfWRuRmuOBiIHmvg/dMntxEXuZhf0GxmK0NAYp1hc1FGJEsHTjQBl12zzRG7FAo+aIwekhM22v7SQBaNyVysNWUecVyYQzps0fsNh9sI+ZJWE5mwVBb2SIyMstWsdENfI5UQmdZElfybw/hUIgauZ8VTVPpRr7n/uylrBmIBMcyLV5touBAbZ3YnzTXX8GW9xOH1ZSdL8ttjL4zzChVIaxXXnklPaHRRjARXqRt5iHXw4HanQxLyiuiErUlFIrJl8wP6IF5SCWdVxyKPkRYZ2banMobhTngsitPhleFCAQfgzTwT2o/5dG84BkdQdbBT61jweLNSx5vOnC/tzLQ2B29qKhhqp731Lfdt604Newk7aTnWmCLgZHCn65cuULA5XXpcBbblKGSkFpkAZruVc/ytAkJXsmM0+LTuNDvQ3m40yatK9s0r0tr/mVe0VTy0mZCh4kvAbaJXGYDRkKmrUu10LTwNIcOfek9gEQIygijZ555JhoVZSaP5Hve8tJLL2VC8j3Pvvrqq+nkbbfdFvKinNhy+Tcr5S0kDFghY8xWWZQzMeQhKh2jChGDZ3NPJiHfQ0Lk0jnsx/oL9eU1WenMCxyZZJ1VHC1x0LFdGBgBT12YVXD3okJcGhFoa9lKa/BQ3tlthWnvy++7nmRPtHDZla+tZSXJdWl8CKO0nI2bKc6VTCIiyESkfRPXjv2Qo92ce5ox5xURCulh9npuyzSFsIDLzZtn5WfMPXSANPLkk09GuOR6ms3NeTCviLX/4Q9/OJ3B5u26NJLl+fn4HEY4CiljLExUGIEdQuFrW3s7iVxw5cL4XL16laWZ1wHnMjpxUGlTKFR6FVrv1+XfXsQMPPcI4hAfRQFflCeGHKR65jZ6p0isXMlb0lWhVhlXOnOutIXE0okwcKwS9kWysEtpYB18PK9PE0QjOuDdVcWybcsB3JtsqppQoTgiwU7biqxqLa2tP12idG8qxHtVYUPM9WvXrsU+z50ZZxYPdmd0PHG0zmwvmweMwoyHyWktjeDN6QNQB4c+DE8tfAF/pTvm1fAIkprykRsimKLN/GJ8iEWbO93+4Ac/KLCplzDX4Rqvjc/U8bqdJEd1uEsjJjhQpujFF1+k0oViqLzf+973uJZJczABSc3l1/pMyNGc897kHiioSHYkmys//elPcwPTIaMOLdppzExgAuzz/BW5lP/DsdJQ7gaEEiuolfjDZoxkqnhabJqmd7Qga0iCETuNOG2uo/f7ij1fVbSWPdoIYW6jIbZ7od1VYSqxdMKoslcylfZo5jprYCKyWulkJouYDiMJs8Fp8m9UzswaWZ9m77777gYkX375ZXyuDQW5KEQ51yzhTjc1hE40+uEPf5j+IKzI5RBWXpp27rvvvueff55j0ZQyuNLPDAS+JRBK+7knLQAj0s9DJTJQziK+o0pGEEsyIFiweZIOQ8JiMwn5kouYOrOayd9AEprOr9mHQndYr3TucEEogV2a2cNc07IRSQ5Ir1aEYjqNaIj5TkazR2kPrdXiLu4/lOtgahtP/YbziUNjX3FkHU6uhXnFzlKZW0O0QkJu8hR/Z0ab2yDLDz74oO37+c9/PoPMZs36ZdYy0RnRdvjk8658TwuZlIw8/4bgcJEsPOdJJoLMSmthM3lLyKLDIkyF6NvcEKqlp6cdDDg/zcrPmL/pZ96Y0aXZLAZeFYpPs6GqyOh8n1VSDa5JGoSwsiq5P29MV1tqh+xwEZ6f7HxxwNlUIVlM2t7LGtnPeYr+uqrw4ihb/Nyh4Exd1t14yShETMjg9OlVbs4wM7rcBq1Ix4C3RBNqhrSREkjoXLEWNZqHsypolhU2rzDFRrMWI6+N1nVWuYEIBSqI5Swr0oE8tk0bYsBIZxUkhO01x9I4U4BEp5biBOhVyCulMEzlBz/4QWY5rT366KMmPfyANZf78yxHWAST7JE8Yq9j3WF1JFp+akQUPaV9Xc2/gOxMLu0zL81iZN7eOD5MhFZPUS0RnEcyohBT5iE8I2/P91wEBeW9uTgfzj5KWxpP/3NzVqs1V+udjSGlIj2PGMpFRnd2kQmHDuROdhzTno6LzYTQs21CpiwDrj1cSoOmIrw/94jDAxPa/5kfWTa0xjYyBGzltmhdadBUr+gEN8aH1OAKpGDRnNobyHg5VAro6SRrtEUkgnMRhmuEeiNwZ1Gh2e0d67wgQh2BYuOmKbfdc889mYvstvQzy/P444+HZ4TIMr+hs5+NT/hWjzYjpGZmmtJ45isPUnR4zbK0GPZheBjTHwlMzXrTmTSY9UgHTFRe8f3vfz+Phw5yXRhCfhI3kqfaUM8QwM6sy1z85fjkzrQ5r6D19DO8RMBJXp2Fx6FBbiG4Bk6vX79uktliDLpQVQgxm42ghDO1ZXOoDMf85Q/F6gjuzIMFxRTasvZqkW2USxokbbjJI2NsEDG/pqsZlPXNAFf8FWwrKhukqtPHgMIwJ+7S3GnwBpzJynWage2OFXFckA56lneR5Q3qtDmtizglPie/djn8mGk8YoIOmwmKocsM/OQnPwm5jZadaRIHmytYS+YauURSsB7yE8WLYmTq8wjZyr0f4qN4hXRCvrZjnnruuefSJVoz/DqE9d73vjd0Jhcv88AoE9ZhPegiZD0V3rvyEz0P88urc/+3v/3tNJI2yUcOk/SHVpB78iVrRFERD52pyGZ44IEHcGIMkkubjIPAoUiBwRHl3Jdtqutb2icuMl3UFRnY80ksYd6epjIz+UJJSGfMdggxg83GgN6tOArxbfnUxsyUAC7kp67jYJoIOKYfVTGNctogKboXeu8NcRiOs1n5HxDxfBIcTNIbCf5E/cTnBbiKWswj9957byYdC7GtcyWNuDNKkgdtLwTRVgw02H7AifGPUA8OnQezVKGwTFOaeuGFF1QbyDyE4XcLYYp5xBoTxG3AcnK3mZJucJtSHpjbWHIINA+GiImkvBd+TSJjAyFuAiHthMPlLaGn/A1dfuxjH0sPeVfyIrmHdB08Qmu5SGGiP7EA1hVxSQfI/sluBGcyIw4jClm2C8uJCKJ+YOR5NanK+BNRvcL30m84FgRsPYIJMwWW/6iy4zvJAmXAWtgvAJXGoqgmHVLdGAELi/dtV2Hss3I2ZyeJmwYhZsHyYMaQjuVvbshKn/uhhhWzHd5xYUNZ78jEvCI7ZlY5n0yK3BYO0XlwWJ18mzSe+4FY6WSmleZnR+WN6Ub6ADsIWaR78GVGLpxpNtL98KpMjotY8sn4YPx8LGlHXF5mm6HNGSxShdzfjSC2PGUHpnGWkF0REg8xve9970vfYnxk+2VC8DOGMJEEn+v8wYZ46DY6ibcRGruKx9xXLKERWXRkhyEdKoAn7Wdy6DlAL2wvN2SiVjRNmqlqM+1zYFWmlXRXLEpu5kuBJyERIjZfyPjZJCmPJEoXkV0mSDvCMEw3W4b6mQ7l/nQ3W9DqomzqUbrEfMvwIgJI5PzE+Ad2h+DcuauSEzhzeoKN84ul2VyxnOQCDDPXw9IxHnOd7kVDEjpiWnBu44X/pc1cp7JYM45Xq9tOT/veumKxRFVzfVATdAb/puYLik87mZaw5/TnkUceefLJJ0NSmZDcDBMntcnfdJUsyl8Bapmc9DNN8SUTU+sqNrGrqG7aWKYuQztUsgJwIL1lG2JU6QxQN6/L1rVzsjTZPOciqHHn9CmvBAAyIiiPzEMiiQLuBkDIokIisbddRX5is1mMNEtzZ3ivK2IzWufpKGIDJ8yv/DPhSfCOEFAmPY/Ivkp/YhblzswOiJkmZ2/JGIECoAYaCT3PfoBuMDwpc0LmIZ/+ZnYYWYy4sBP6UPrJNGbVzysODDaIUTVMwxNCN8Wt+RVyJVIsV9KmrWgqwHIC3o9HnSBMkaVGo6CnR+xmG/zpn/5pRhGZRTa1qMoNpKpmGy6nqGR00a5CDW7mqmpY2Pw3mg+aF3SV75lAyjRzh90Qrg8ByG2Zq2x18GF+ClGuzAIyz6Jm8eww0gQWwiTk8zdTpp7LHRnhPfmeWWPZzkbsQDbKosIas13CvfOu6EnWmKl1xx13kAi6hdZJ+pBRXoTPRQTsR2ie8AyjyhchhJKQ9hWeSr3ADJjN7YnDcWkhOGu6kXVK96LoYKh5NhPHjICl0Tm4uucjjipvjzk2G45wcrnRKYKMzc8yTVNpn+abNcuzcjlp/T2TlATmMym8GVktL774YoRguvTpT3864u8b3/gGNARcYm6ZbMC2xlNwUBHDoap0I0tDiUwH2MtSZzGFzEOUvAujLAqDYF4xZCEvtA7stRMor3l7HszjeQRctQK44yjXrl3D5VgK1KxGqnSxg/6wbvAS2DAsmnpLmGZ7pYV0HfQSws0VvJDfCgu9evVq/g37ZSJgh5zwVh3VArFwOLdRmCi2HeQOsjutFG3rzWNI3SYC6LkZMmHBDQ9yvO+++3jyhbm184BfjIdfYJkbMtfSN+hh1JTzcitVpCnf00N+J5swuwUKBUkBP4oHJBNRXlpuN0A2XvZ8Opym+IzxYHFBRFK6oTWLkjspEqDLdExtDlnvuZIG07cO0zhUxP2VK1cIxAZIhSazpYRt0tVwMjhRyCbDz7933313tsGKaZo1ztgee+wxCApagWMx3PK3Q1YsWNtxeTCKM09WeB4vSsaQ7RWzPNfDSzKVeYXwjIiDdDrdevjhhzNfGdLTTz+N96ZnGUNGK+8eToZNitVJ+8g6NyCvds+l53AEPcS3Z5M4EzG+LOdmDF6XZmn04UDw/XabNNI2q6BeZArEP4wSAeIt8xOeCrPWT5oDOqAksORBVpgcUw6+w17rECBUkpvTsUi6zCFZn26D8rFV0ZQUBn7l3CA0I1/CmVA/Ro4cQ1u5HnJ54IEHmgbyCKuFiFSugsLXo8Blj6s2CfJKH1jZ4S/SalbA5Ux6XpNJzGuyzPmZ5SI4MJ2zzGJ9BA9Z15AOODFrM+Urjz76KHEWLhWqSgtpJ3wy3Dg9i1HzwQ9+EK5Bm0ZhbFdehQ5OohvRNjqySnxjB7GsRl25qTEPcuMpx3EpYcJzOXyIj6jDEU+RL+ceruFBh0tBkto3ta5484yaryL3ZNQQ3TzF5acFy8NYZnbZh8wFsjhvx33DtsPtaAhCHoCLhwrtz+vyIppQrrNsuFmJpNANYW0DcKVnX0XvSTe05llrl+8CaSyfx9P/0HrmMAOkq4mcEbZAWw3lhU5ITFYw+z0SOauf1p555hm7esU9hyuEB/J/zarwF0uYWzp/+2LaymLIyifyWlwKMcuLwZhEHqdsBhPBF6qNzP3ud7/bYRTZkfzqmCpNJSOUzQceZEyANuxa9qxfIc6io2xKdSj4s/CqTJwQPKprbiDRsq7ZTg1PIJ00mG6z0drNgF3Zilq22AKKpDbhXpjNvpLDWF6Ypb2Xfv54fPin05NMl7eTnlYBBtQIFmFCtpKY0rb+a3yAJh1gkwZBdJww7OVdJdrnEzrIe2H925E+DpTmIaB6tv7dr+5CSOSsSJBgx/gAACAASURBVKzMcMaS6ZUodq4btODPymXvZpapOGLYOVlbWrN9QjfhzKA8LpTcgIG5OUQtTkNEJQ6U+8Oo8mtoPNLwdCSl5IYolSauI+KZwR04mnZEvxiniMJMaB5nOUJB2xNA4YVe5v5spnRG8QVGLrdgvoftyanMI6SJBcCZ4GpdSYAIyHvJhdWoEcUbRqpaA5VYWGQNKVknUi8NwvTF0OUKPQmAqb6jBHFmgegGukH4kH1ont1GGVWAg02X+8Ny0ueI5jzItrXf0PpuhM/nb/g0CS7z5VA5knBjlA0xYQkJD6T4pk3CNy2Ha4SqJDsJFXl9duBSfuh5dNGykUT5ZGzRznLlW9/6VjqdeaSq08AyEdDbdBGLyizzxgjuQW0IBXppV8Gm5T4sqwQAoIuB03HAETdZmF1VWJxXPlZmmVTCYqVZ2ug8CvifLLm8Oj23E/TEsyw+no10TEBVewh0DBqe7tE5NlUSLE+xt5ljYecUFBBUl5OwMIRA7n/ve9/LRHjqqadkfiJx/BJ1mvy8KDvZekl7YSql2WxUwjEtPP/887SFZ599Nt0LRwQV8cPmtkyg2dNylilj5G2UzMjZSo7hXsw7ivVR1Z48rU9ugE1ASdjLK7pCLtEYOA3TYwo/JYM9lXYffPDBdD1zGlGaf7NLmlvYW+k34S1yLU2FS/HUbkbyRqZMSIl4X6i6vctAA3IS+QDVDqYOKVhd2johDknPDbFEMh6BuXkRq4KeZwbzFGwTRg9rhfEIkcttJNGuKhODT70OzEtvBYVk+KKJVlXKkaLDVMxAlpW4kZ7j65uqhay19orKjQtrAduGKNswD1mIa6WikYBiXGly6XxETXgPOylPZfhp86GHHrJR8RUxlV4q3jAkxVJJh0UWhQXY5PDejCLjlRbKbwMFxFYNBPqKDXX754qXXQXjgRxSeG2RTeUS5k2h/Ywnm0MQCLRJlFzaEuwLzaKg5CkWciOcUOB0iHMtyyN2ymYS2ZNe4j1y80ME1Jd8WiuaVeYFt4OZYqMJ0g+v4sdQICR9yJ7RgbPxyXfkC8bjmFtX4DI2xjbMjKPs46rQQhfEp+WCq4TIHc5QMsC0E54XtdKrYXIwVckXfEriSsTAwIoMEximqAs7II1Hc4CVwMTh+DxybZDyas9H4S6CkrDmz+VUoDacjKh/QRyokL6YL9l4NMg8kp5fqFRbdpK8IHPbuBfLFP2sMAYkhQfgCoS31+Tf8CpZH9aMyiW8C+ojrBnyEVpJa+Gu2TqQVbgzUSJkgClh2ItKT4W+bEam22KEf7VHAh5tcwBRzip7k2ZGVcobBc3h4eg+febVOhmFwnJ/R8zlvfxIVhrwbbpRdhZSTBLdi/iDRHAMAHXEybCjcSzqwW/91m+tRpUOIYf0dKRJVaI/pPFMF2UAt8Ce0+20RllkHqYFw8/NYTkgFa8+q/yXC1VQfl8ZwmYyMxDhSzSLXMjj5g1Sw6OqEoTvIJ50hoPOK9iexCs/x2pSOYG+uHJrOweXVQ0cts6myMAypExNKEYpN9CiPESCgFPC/muNmL+PP/y/68MBzp7Pzch/URlgnPM4Cm1jXUVmYC3t5IZVwi1pNpvKCYaRRrvEtOCQWSQCN40DJpCLZHzPops24ujpjG2AQmcjthtefo5yPfgf4sBLIqS0dmt8BEUha/iQVWEXGzLXkDCvyIeQZiafnvrkk08qRvW/45NViPRMs1CxBo1tjP2IZjYikai5GOannAKCzlQYuyhCRBM1lIhga2caMfVwFlSr56C7RhNJNvvtPOaWdmWFTK5tBJPkguBLzwzuKpN4WWk2/Ak2AX0WsAFapEOY97weXAQMy6+Z5VzXJ4GUaTNf4HVgJ7wKVwAudByOsTFeMF0q1Gpk6F4ctYRMVsdgqUwHRVxXQeUoNEdVlmNX5cSBJrPK+qcbUbb2lQZI9FOqQitY6arSWVXIYNyIneePY1iQueGvUQ2JYKVdaPfXr18XjBrV/tq1ayEvAUIOF9GrmFDisbQvLBu3MyGoHw0JnMyXqBZgEUqnGnGhueeee06YRgsBHcDmMxzCPWI9N5MDVIX2ylMi8f5z0xgg1uX2OktnV7l+2St5wXe+8x3lJcEE7DUcezeSh7iHj6sWWddM4jTIxbB60idTmTsxHuFNWZW2w5lON6vWPKgTXyS/D5PDLOBbHU3A90LNQou5GJ6BuClks8rfAt2RZeAxKD8sQ6wt6I4fgh0O6mwIQPRIOHrHNIvhoRRnNrIesPusaBrxiL2Xv5YHThEaCnF0HRE6ULr33e9+V+xJpiLEGv4Bo8+4bDbQWr7AII8niXTCzYGc5EBm3gxwVPOw5WZ1ptKC2cY+s3aAG1Iv4wr90TrA4NB83wHL0beQ/opywFfKDdxRoMJRwmNiwR6qAh2dvSNc6eycDKyzC1XER3pQHsdXGWhpJGL+3nvv3Y/cTsNTWCJT39AOD+ZiBD3CV9uTYFOuK3qYVrQdOST88zgKJiSfDpEJ+8wQdpOyrYsqiQ7fWo5sFhYrIkDoQEU9EYRDHxKeyyRkTVsMmzPzJr8vN2c7pRuhjAw/XY240XOuw/Qtw8/9gPK8hUnE/g9jkxefe7L2cJCQwgMPPBDCDdNi+uXZsDdOSXIg7eRX9Jf9FkaYfmbyb4xaWR2YlR6SegIWiHUjJbXIa5tHBDZ5iu/yYSvEjfV873vfW8FJebVor6KFxNHed999PxqfcONwrMYwAHECLA8ja5QPUhALx5+tn46iOYaokezqQKUsFe0+tymaIzBrPmqcsvLgHRyrAHrsndjqaljt9uGZPh21nagyUnUZHLuqcY0ViaaaV0xsbiPff/CDH1CWvYilgw0IKke7+c4swH7UYKH1R3PIECKwkHh6AuXK/dn3XI3KWfNQffnLX37iiSfC/Pj+4CarqizCq02blIsb3SvjEmXFKr///vvFROQDGTED0NGQclSaUPC2yrowSrL/+QBaE+dakMZDcFumZRUbgzGl86D1vDqvePjhhy+OlGs0sBK7HQ42hQwA5bk19+WVUP88zKAFKIjEUO+Kes4NvK9scZuAm8KSA06bNOmnbJBD5QET8LeqrC8+TJBjMFoDH9sx3kVB2Vcds6xrJj2zmYvpJ9fHogowSR5RMtQjqttjuiAGVMV9RBO9WVWN+IX49cQbAuHSk/ADkXccdoyp1chgyf0cJqEVyYD5KRQMDoQ4CJHIcvCfRH8IzbE6Mxb+n2zyrolHcwo7jImdfj7zzDPgckge4ZOWw+ceeuihUHaIUjldmgZTIK+b1UlHZEKbyaQZWuEW68gAXLwfSSOh7PeMT7bTiuUFDg3RRNJn5JFfNMqnn35aAFPmBRZAa6YtMlnzvogPFMD6tdUu1ql24Dj+ik0dpnCoWpLk41Ed3LCpGqcWj8Xa8AdiYhzYTChM1CEtMteziTs4MyNK91jp3jgbBVtzEbGyIpcjbjMX+cUII7qBVRRNlDeC93QmP0XWrCrxXDA4vE2wF6m6r0paELtwjlB5XoRZZm4jg7IYbK4sfxYJUprvNOWvf/3reTYPRlxmsNnkYQf7qt1qN2ZQIURuBnFHVIvDyA/I/WQOE5vPXmhJx4VaTSzNdtK4lBDarZB56gEADzfNuPLSf/mXf5Eavvqt8UmnQ0zyTDLaqOR5H5HB2pyNMhjYzFEVv+MConLyvp1VMXRSn/udHc54tOllyBCIhCPzk3jiqMpTuypzDTpfVMk8jIQNwlClg5OAwutovuEZskBx73WdRuQVTEKWrEqHIkCE4lAvOA3zRsk8dDhhypaHzx/dhAEoiQiOCcWol0dZzIvCWgBOIceIgjzLkQcEJig3I2Ekj6fnEmAM6uMf/7g4uwxEnA/iS2vvf//786tQcknJaSFjB6Xi9HnEAqFFmwfx+YJrMml5FbFwUD6AWiQV7xy0YjEOwlzVIW3Cbs+jW88rJw9oVNpTNkSudrYJY+1kJNvQV3ZV/SwDFn6Uj5ISnHSHKtzDYKFIMvd6RbkIj6sGc6aD30BkzraKyeC6FAsqDn1T7Y1GXC0VRgKtEWIAkxTqNK/S6ttJZSn6wX6kCbBIOoRNDgwmNx/xojer5h1SZsyTboI8VyNat+/hzgoBHVVRkEwvFmU7RWRk9wKc6QaRcaT/7//+7/PV0GzSn6xWqGc3zutjptghhKyEJZoAT0B6IqqbqiDWg0hp6b+rmisZaSRpVjAdAL2y3lhy3iWWk0zsSE8WjNKS+zoSNubqub0ZSsrdAneijsnsBk9b+E0duUGX2lTx/pgY88r8pyd6zbqKIN6qKqjMH2FAcBqotLPLBBEYJFiVJ2Ff5X7bG8idRx4xqlHMts5Du1XloETw5cODRpKKY1HziX1wqNr0XMjUZAyM6c5PgmjmVbxetCfkwmywhfFmDgPgYey4tMPCZZpxHq/rrErSnMrCp5m/UaRCc0899RQPAU9w9n/4YnYyt1IWSwBqmn300Uf579KTrGNUt0xFuF1Ms7SfVZcWgTJo5VhORzJuqhyVLSomxyPTYDLs6uKo7rEeYb0sfRZATFSBXGnknH6WVWYdIXO6ST5hKK3r5AiZNlw30QEv1MFGHMwtwrJdrDpmyyZAVRnSbiTPCG7pQGHcmN23r9rxKJL3bVaFkDqyr2ERUnJdBSbMO9XtTeMjGql5DyuMwJKAj9qotCAllCQBxl7Ev5d15gy8gx6TB/ki95WbpPrDbtSd49X2Lzc8gfXBD34wRKA8jjhKPFIcRHQs6dcC2vJgaCKEovhHHvzwhz8c9f+xxx4L3fzTP/0TpwLoOGpWSDP8Io2IH0ybeTzdzuP7iifbTaqt5qmwGcqxcBKuPCom7r6oDGSWbwPp5oSDIX0Gs51nYZi4s1Fy3cvMGrnGBFtV4YZb47yU3J8NwdENF6D0cERkDEQVlYhOxnA4VPExg4G1XKh6wJ1WJbQG4bYbYF6VSPd10i4YAugK18UjeaXeNj7pjB1m1cE5oBAQw806Q4YvHArARBANsa+qfx3rgWKylo142TDLyqkCa6GMEAFokRKp5FD09Jb4m1HpFAEB//JeUW6hjFDPakTTpxsRESHZ8OCPfexjv/3bv/3Nb37zW9/61nPPPZfXRZBpJ2uRf3OnUiLU1rA6ug2dOK/g/uLqtfHyhUHXkCQtnvLHMU8L2leRQbwA/sK0zzykz8Joz2Mn6KekHt2ILaq0EnALq2hrk0IttH5eFZjRFvxDDP+s6rZhmPs6/o8p0H4GOHgHR2Atmzo9ZTs5ikg5f7sHcbxWp2Hz/l4YR7vIGBF7aQu2r8b3bZ3/w1kmesfwIQVczss6Eveo6uFSft1DzT+uwiFmRvoQ7NfkQFjECme18oVvNP9mf4bUshLZ8VKuMY/DiNFt79lr45CI0NDDDz8cwRe6iRHw+c9/PlP9Z3/2Z9G9aJy8Gnk8DUYE55GIzmhgTKjOL+WV4o1oxJia0bzfTia1WOjUWRoYrTfEIESR4gHIhJSmDyszK3t9W9Wz51V1qF0E2zoNFhiIhZoIDgEGvIicdFRoDQCthRFhx0/MFXCrTi6lzUDhGeoocjspUeztqzqaS1QJ1ZiRyIdtO2bBbBgci3fPVKJmE7oYKQNmWQ/b/6q3Hctlg9JIeLLdzxdpTs5GiQTvCrFmEvI3XCfKuKHl12984xt9PooKR5Fc4UPiLHJPyIVYJDdp+nnw6tWrf/RHfxRyybSnkbz0r//6r9Pss88+GynJ9ctfREN9/PHHGZXQfPCBoEJ6/aGON785aiqnV+BZiiYVHpSF2gx8Pzluk74oUgPsB407B0gVrOEkEhJEz23w7axy4cEH4lXO6vgNuyp7iONpXdnlCq3gUrQ0KvasjtCBNai6BtemfnG0IY4GRYE0uF1DrB3jxRRi7TssL4QOjKCrwpQPdRQvBJiLmlvQ5sl1zu9Gg3G1bZ1nxCi2YZrNI3fO1lnV+Eubqq7lizSY/BsxEa0o4ubatWtpv33GEXA61sltDIWzUflD4aQsWPT3dCbK03e/+9009Zd/+Zd5+xe+8AWQ3mokbB1GiaWwsVDqpXEUQMiOU09EE4vhViUJU6QgVbM6D4ZS0W6GjnMhWzivrDs1SawKxz8d4ByL8fBinB9hl9DTUbQWGfBMYgKI+kUHFPpzqFNVrfdsxAqb644FWNQ5sP4iQfS0r4LvQAF4JleGZXNPg+PbOiTR2ymYKD6MU67ipTqsZVuH8+p2h+xhGKxIzJ9wj8pCx2rIZz45OJP1Oq+jwtQPs6Oc75Iroe98Dw2FXWXGJAE888wzUY/+/M//XNxHtDpRBkhWqKNNSFplCcJCaBEUf0Xb/v3f/z26f3r1xS9+MT3JRaGOl0blVTEwmbeXXnpJdV3yB8XQoUPWkcLCwnhK0k5kdF4RjkhcLuowPchWA3jqgjSyo0GP2Id59TlHoCgwoS9UYdP27rH1uNPb70u7n40kKht0U2ceM9M4MahKMFlkBAO0dY7qZBvLbzaXVdD2pA7ORGEMY1GBfnKnUPRZ1eLiRVb20i5vA2Jep0sysni14YfEuvkSq5kH80UIJWvOF3RM0Czq7Br4NaolueYj/JqbqAuBpkvRuD/zmc+kta985SuZpTAq+VVUkdUot6e8ArvM8QWmxaCYnLHZ5WrzJQMI5N498cQTf/iHf3j//ff/7d/+bbqRO4G9hL6iLxdGcUrasLhnY5d7d7PO8hBLwivD/lAtgQOeFkgyzqtILMRgPVITVmwxsJudt6tS41jXojKe+6Ai6jzslZLRiDbEuXf2smqz+tempNOgceVv2oTE+eZVtvq4av8BJmD35OCy6ttiftS49ah6lUkHUx3V4eRqy4hiy07NgkVc4oIWxt7AXHl/GVAo9VBR6iqLGCwGPK+jMQTHycWDkqTxsCg88sMf/nB4z2c/+9noPZSN9Uj0Y95nOQU5/c7v/E4YbWSZmUkP+SrsKO529XZuv/32NrZ2Iz0rs/rtb387/QlHzFsQ9AsvvCAr8L777hO8T19sZ3/2j7IOvE8iSs4P3h0bD9FIgKZU0C7mddrZYgTgo2+0QeU45992TJs26sNYEpgkNGWqajCwJW/NqqCbPG52MgO+0VicSWu4KMibjUngbiok2mAYHQTccZ1od6EquRsJ6llXbrjgQZEFyzqydVknaETupANZklDM1772tVCMah9EPCOUHrmukuBnVUmVkg5ksgHgF/QtqGZH4OD9aCuTHlEYsfW+970v2pUw18vjXEgaJKPEmkVPfeSRR0JbIQusC5oDxYiCn3uyQ9JIaDTEF0UtIvupp57ihP7Wt76VdqJ4ZV0YjF/60pdEv2ROYjmyjvdV0py6IuLFimAigMlDHaJmziGxtjFclC4oc7ODO+g2Gft5ij1awWbMMsliovEtVjqplLXJ7KieyyQU0QXg3tbhQVBEs8bE21URadwL8Z1UZbYLVXoUOV4aBZvtSG4i1pmYJzGTZiS/qu+r1OJqRH+zcRgB9PSQEZ/Gv/7rv6pFfqGKj4nYof9yNuB/t0Z18VyBp5uljvGnpdEjO6+EHWfXXh5HZD344IN5xZe//OXwhkvjCC7wkqkQRBXpdjoOOVqORFY+k1kdMNaTExHJ/SXQCiSrAFra+dSnPvUXf/EXIbW/+Zu/+cd//MdspMzG7/3e76nw07pvljhrl9kg8XGE9Mekmb0Mh9e4cSI4FuOGZOhwD3ot71Mr2fl11dAqBgAZQk9q1pBx4nQvj7p+fqUJkgiMCA6B7Ug9Pa7zKQTSoOt5nUgIMOwUotdG9fDW5DxlQg91Kl9DKds6JRCuK5B8P0I3+RMujLrIZHRLQBAof2q4iInAFMGb7NO+2agFRtpgpLDgz23lo9oMkGFqR1q7MUqS3qhP9B6RBW8ZHzk84K7NSPhOl775zW8Cn/Nv2NJzzz1HxZQ/TKsDceXVaS2P5Ke3v/3tIcTLo1hjvj/55JN/9Vd/Ff09nfzEJz5xfhrliNHYj3SmNB4+txy1mUOO6Q8277yjkLVaXNR8f6UqdZC31ECOUcKHZNxUceujOk/6HBDYV50aNjmCECZmKmFojXq3zUg/YHi7R6YAmbWuo4hWFf/eu60hA0b+WRWKodagBrEJyxFnPKszkjEJKJc9pHGRshTk4yoNQnCvKp18NRIWmDDCSlkAghx5KkRJdAQShm/iSENII75up21GQpHEnn0lGfO1Pf/887nn6aefznVnBaZLWcWQBaGpKEiogS/1j//4j9NgnurBwkGgvsqGsQNMFFwmYjHXo13FQgw5RmJ+6EMf0oJ83dwWDS+tReFDtZmBaGD2rW1/Oo7hUNJI6WiaqzJuuJRaWXb1oXK7mbRgQh5edvF5cVur2ziTnQo3X1YNRRFLKJQN1XD+qs5G41dRCH9fZ/gy6QFgjW6DRqm3EEtU0oD+ok5CvFHFYTS4rbznoyrNDdRAytOACBAGVKZtkdMqNxDNNzxDzMm2ClbzU0F6mAVoiLKFZ9jBxDrwHQlSK4GTuSHMI5QkElo7WHheCgJ9+OGHCfEI5XvGJ/MWdhI1i8BS/ZE2zSl5WufKhJL4kuEXn/vc54RIpCdR0UJYs5GKeDJqFYUyPvCBD2Ta/+Ef/gF8BeYAytCK8OB3v/vdIn84UcSgbkfiMbQIKtGwqlld1blDKIcOQFK9nhXZ2k+XwVhUfhkCEoQPkDTLJ1Xhrp0kUDJaHq9fhsTqxJ/4iFYjz+5C1X5tMMIeYux4pNnkoo4Hp8WDD3xgxFQlOEqDxUzdm6OI2UlV1JiNsOPG54izdludjZyLRZ180a6ndri20UqvOq1KmbIVvCXrerNKBKrEnCv8E7txXM83vvGNiLBYavfee69e/fM//3O0b1b9Qw89pMIswB1yYS8hOyZCGhfDnnZCf3fffbeNGlGYdtKyoqlp8Ktf/ao8ZpMvPEn8oF2kbj7I/ub4TB2FPUVphFrZ9pkJgStdrHPj9uO8jJXsWFTWOBaKIU0os2iFWo14TbTIdM61kPlxHWsoj552fKi68N7FCcXZvBiJflRjg9lW5fttHZvm5kMFBhKUlAAFt0XNZit3pQPU2RxLONRrdV6jFiwSZratYwf5cZd1Ahl+JuG9YRsij0SGC2yrzC7XVt6oDie1UtJw2KRc5M0o1xtt6d/+7d+gNtwMx6OCKMUoV8RCcpqd1ommOnP//fen54RmSEc0Tp6lzm/HeXodWxuzUeYMRZlsAcrM6wRhLmrx8owh5mo7G2SDwiBbA+ktR17v6oC+5chyWH70ox/lPwb8OxSK91FbbXVT+ztR7KgOSHZ9Vscf2M3e14AnDtR5knw1ECDR5ds6lwYE6qVwqXZatdOQAZzeSpshfUAPuDQABdDSbfLecI1jkKEDsaD0RVCtIkGCFNJm1w6BNM7rIFY+KzAKLEYeyn4c/2e7n4y6DIuq4ichO1qzEFNQFvAPUJnJFxouJIRLESZC1qT92H30DY4UXPx0JP7zBhJhikGE1GS/hdSUo6aogJMiE01dGhSeb9Q4mUXHkyiv63Gk6KzOPbUtaUdMQHHbyGZ57do1i0fuKNFxoYrQE2Sd9kSy0unwBryE4MN+MNv55Mx6DgesmK62rwTAXX3oE+jPv8SfmzFCXMSD+B8VJ2LFxvUI3xSz642jUjIRwBO6GFHC2qS9st3QH/MQt2DVd1AGQxJoYk4BBGwRe8w2i4bu1LiLVb2tDQ6oOhhdRnjbyLnzwQcfzFiAt3w4WC9BTANxOFTbs52lTYD4UBiQQt4VsZixi3tmAyoFkBfZ/Iq1LOrcYarYWZ2Csa4MKNyO1sVobYgBO8/jckujbKy85kbV+zYFwAmqWcvBbOX0koeHI+isjugEOmzrXLiWqnSvDjwSLHCo2sAX6uBCkONucmrejTqcjTMH7C7M8GwcK+JUrYujYBXpzHmc7yquwMRtdCiJzS0WWbOOHiGGJM8gKU60o1HFGWnijgC5djOYH8yJQMc5luPcG8w79hqin4303fz67vFRj+54VKd1qoqfWupFDe+ADllDlCf0itDfMM4541Fuk413K8JRhQGkkFdkWjKcrKCKryGyy+MAH+lJQHOSeltJUIs6C4JdwoRErxQJS4kTLUdpoP+fw4MB9PM4TYf8tncZYiYibFUn3Xfs8roK0a4qwXxbZ30x2QDNsxFBj29RsRuLalzKqy+MCoumDJBtMExCkshoRVFLeWUQ2EzEP0CEDTyfVFDikeDWzLRmljO/UYPUvXDUlmiTDiI6jMhdQlM0zr4OGp6NJIJ2Kljjm6NitFLVjKyrV6/uhx89a6xcezojgFgVhiz51772NRGYzsGToJbbFP8ll9GfVMF8kIV691CGXeU7zEf0zmmlIoYKQ1hSXo8rYTpX3ljHf9BHKXPtfSFeJOcYI0aO+DTVYXZW53wSBBaa8Y47OKqCxJs6JQDUdKsKk+4rJWZZkXqHqolIg8P5yWkSc1mB58uKstJFCgcPLvuWzmshMYltnWmwHCfS2l7N7c9G+OuhopY9CJXGROcjNnc2or6UWqCQQelyPQxGzp2yMMAeRWBQOf8GFRPfNZvMxtxAcwJzn1XqLMAJQMMbE/OQKFD7P+S1HiVAo+xHJXdMi2rs83GeWcfk5LpTLUJVEW1PPvmkuoS5Ld2W/RHDULETNWT2I2I4vIoKmKcYfdSJm+OwoOhejijHLHgDsQZCkBKJrdhUhLj9z+lpOfYVtMer83rOYYeIzKsSDQ70yzoqmIKSl0FsRShQ1sgCKFkTDUijQQH6cquE7ZZmD+IBqzr/jpZ2XGdqLirLdDVqWBKUphLltXJjCCpyMU45U5Xy7Yw/GqEpy9vfMI6xfO655/QqNzOHRcPBP9dV8l73siRAE7Yt2F0KGvdXe2SdMKUacZRlbh9FFjOTvzY+6XAW+Pnxyf1WTv0Z0k2a8osvvhgi+MhHPnI2SvjdGkVmEFBGlzbRGbZ6qw7n0QGpWgoQUzMQeaNkFwAAIABJREFUN7sPL6ck2AmEj6HBmzbjpEg63KYO1+QzZcg3lMWKf/2QBaIHuwJikXHMARCfijHUGgUClpXnhFaaM80rw2lTGT5HdegetJM1cVQ14rmfcDgebkimra8dMp7jxUvVEFyOiDPSHWIpoFREA3xEVK6KsSIamL1csF0WGmC4rvMvb1Zp3aMqn9k47WHUdluMILa2PdmnBoXQwUiGk97ed999HUVtW29GcGL+PvvssxFq4UZiTCKUQ3DhN53wA7v5zGc+k6e+9KUvUfgImdD3yy+/HGWOzy2KM9oymS06WFQ2lQ3MWlIUiY57qOA8UweEwhqoXK7TgrAGq9OTwD9x/sbYt9EfX3nlFVsTVzypUmlywqRwXBh50m+cnCcGCybLcQJXeB5tBSyn4e9d5aD6e1bHArZDCQyh32rInFVRijYqadY8g/bDfIQNAeszsC5AdalOxOCsRVLSUxvlP6skREn3J1UhPETDBsQLaVrWA6tTG3JZaU4UOz5QOx5ztT3sOlAnwxNnIonkt4TyrJzpleu8q9Om5VD8/d//vcqoPKrAPD5QPH5ZZfTYSRfq4FxlL1Szztvf9773Ze+hpBujnhHuiFl0KAdngyEc6jRT64jcoQ+dHgG0O49uAHOx+yQ6hpJQ63+MT+YxWufDDz88q5ImiIB9NK9QvsZL25GMD3FazyveclHVXQ4VXHpaJ3vTSxyFDebIzfwSFlv0OnrNpJs4kr5nhJ9OyYZc52AWlNExegoAOYF3OyLXqMk0RYr80ThGGusyORiPZk/r/IHWVcE/gpOAPQ3gOUGJcJSjDFIXwYz3wP3lDOtVmBAd3NbKzQ8++ODTTz8tRtQjYPH1SEHDLC/WKS/qQWA/0KKQY5hWCCtWwj333ONwvFXFIluXNsAxKmg5hXUKTauu0DjAsiqsMAKwgFXjT0IgQjcitaUZZjCPPPJIOpE+xX4xI0ayqkxAgYhWl/cagW9GgtGyjlJqsNQYCJfG34lOw9iMSrLEFj5hH8yHG1uH6WHrSo7FWhRdxfNndYQdb8OiihZlfi+MQp1invDmjuXvQ/MYeoS+jTuV3TyeAN52LzrXZFuRdNJfl6M8bkeFOHKWjpIv2dkn4zAmHWhB3Eb75XG8wBNPPPEnf/Inaf8LX/gC+/eoDs/NNlhWWjb9Nf0R+yomAGsR8OOA2fQq/IJypqDSUWU2yw9Y1bmEtrS9AYxlSSyrrDcWjqa5yPDX84BYvL3NeGXKRQrIy8tfh4K04LClhMpwrnHMsbbYIDb3rCriNQtF8q2/T8luVmXNG0uDNRzqgDxZe7woTDybwx6lFSkhYYUAUTYcqMJxftPAQM6Ak8psxqsINYptgwhdw2JRXtT2O/E04D1mHyJg/+ABbcPjXpybd955p5WG0hHlu4qBPh3nD2YIDzzwQCTGV77yFQFCJgcZSWzkijC3oRiWe2cU36yKVlR4qmTulCVm/0MTaK7G2OJIyJ1Qvl2dHMt9gtG276ExgfMlSI85zJ3cCv+UihlTBawX1RLY7Vj2WcUNc/UzIogDaHsH75L0NDDyEfZoQ1g8UoN8REkUNTrZcZ3ZYhWZIYdKfqRRUQ785XaQBEYvBMKp7pLJxaLgFPv62I7dAaY4/YyklidNIzH1SBy4nwdFgLEf+yg87gETy5iC3+Jt68oqFmtqzdq8566wipmQv/u7v0PfdhE1aFbJxlSUdRXmE9fvMD2krG/aDz0BODJGyXYQb/EO+xFFDESk6drSNtjFOmmR83dfoaA4xaKKoJ5TZBqNOKc63KhK6PwwYYAKPmdS0g9Iax4D28+qjMmhTjrA8xrHwlE69IoGwzZeVmkNjGRRCaisTjrWrGo6LusI+11lBHlENW8MnGF4q8p7bkeeD9+lREogEx5m1gg+uLNtQAU5HYVJuFMU1AuvgmP1zIKmFqOm2WqUPKURpg9OOl1WjWBpLXRw4ruNaJrTehSr0SCPG2XupCpz5M7HHnssvO2N4zijfR0Pzg6wtMRFBugMnFmV6IFKcApFr7py5YqovfYDZn5Au8xGorzVKTvcK6CJXDKbOi9iVkUPbtSBxVDP8+CtyLjYeulZduSNqqxlY1ERFODCV/16PCm6QrXEYH5FhYL6Y6osUv3wq5nF8DCVJnZXzKndqcY/LSHLYD3wxagLzKubdT4ZVe9kcmr16+rkAOhROQ0GYuJESWsjG5FXnshwuh97GeNhq3NupgOZKLu2sTpj31ayNc7Kx8VuQmfLOqsSTL+oKnuNG7WVd+3atXQpjaQziv2hHn/p5qwcRqIqSKRHxM4vx1lfeFi6GsFK5eCrZbee1qlmDT22x6bRInMOmWp/PNsIn24v8DlSA4x2VEu7hxjMAFYocKM4gFCzzNwF9rTAwk72VQTLpO8qDRpe0H9FZVinZcWB7apexaLOK1wM742ZpQvD4naV4Y6jYIqdLE/H9F6/slywHJyVqkumr0boo9TC5fC1IxTUCf+kmMui5tejoVLG8V3bgz6uXIw3biujWnBig5OEDlXariPHmUSk241xjhDhvqtAaooOXq4P5PimzkQNQ80ihi51L0P4zne+8+STT0b+tOced9Rt8qTDv2aTiHBAnX4CIFrhbksZO+CeWYY95h2LcUAcpy/hbdMwTGgV86r705ysx8OUsEWOKsGQ9sr0M+Ocg/5S9GzobeXv4zfLChnwUvrTZoRcUgyJgMujoimas+rrKlVNFT2p1H5LLgiRidSEJc9EqVlIGPeiA2cQ+s2qVmJbL//vqbjrUdAHO2/Fv3dgr/ppRSBerpK1ejKNWWUTWKqsPUVQgVAEtKgkUjaBys1pLcOXnSYSJt/D4Sxo2lSKTXYQrnz9+nXMiWjSh+UIGO60ZHTGWay36I/bZ18nyeuMMDuTrGLK8iMf+Uh4IybMV9rhck1GNLVVnfA2H5F6+Oelqm1s1RdVnI1Rhkyt96IKxVDUIAUdZHyoKGd/fdqlQ0w4l5F6bgnBnnx5Fs8siJeHz/XBFsyO2cgZZD15lqkoXiOLlCuqC81G3HM7u1rfp1b7lyt6OSJPNC6Sh47yulAYmwppKvz/5vEhl9cV+2pQhmzaQZrCUNvvK2TjxigIjbzkOGQqMhCNE0y0Lp4SDL6B3Kw4Qy0t56lZZVIdVdlp/ILCQLdhaS3r4AniuxV8cg+Df9vb3nZ+OBcT1ItxxUMluR5XMmcrmx0zgycZcPs16VLUgkMFwwipPqsjvqAJ1A7hOhfqvEkSc16hBM1+GIMheul45AUZb4Ug+B3qg3Cpyc20qFMno2zarSpDfTKq0Nq4wuvCvHMDfEupJ6wU9MfEg3rbTnZaK+xsNIM6q+Tp9l6rOkY+KJhOm6GureqcuptVvpq+4TxcjnZsI30mGdNDCjg04cY43Yl8oFkDpbFP0a1E+fPPP5+/yhuFsYUOGuRs5Z24oFZiIoeqAKrbQNpZpSXTifkkzjfbpz71qfRYULbINcYkEkZPlqrDJIxElQcWyqrOP8bP2lr0puao2GZ709irAIXWh/AntoIR6jcnaGY5pga7sqEKnByBrqqU76FqVRLBHFaHkV4Ca8XthVwiQeEDr7766n4EJuBzNlI6GWoTtH5xHIjFIwY6sac5JAQF4H80gQ4gy8XwwsNIIFDFeTXO3JOwCVs6qvqa0haawR9GBqmDPENYodFQEp8MPBM9EWfqb5PdfHm54vx6fL1x9ixiNDC6I4G+rFxfu8KIGH0Qn+WIOxIgz71t0dkfbjin1E9/+tMNHYEZO7NxNiJIO3DbahEo2AC2YZtu6py35SSpZqr3UK18vGteqc8+i6pCQ63Zl6+azgtxUdTLLKM2m4bNhYzs9fZ7tNOJKqPKGYhoW/HQpoxDt+OqJR1cqIO71lW6gl9oO044Myc8uLSWTLRIEH66fR1NqGYfc4ErhiKRK6rE6BX2zKi8UMcmWlp4hJy82Qj12VbA3M/qI0tR/70UE1L7VAqGtTtU3YBMjqRZvfUuNnVryVrbjcheEdjbKqlP2lycFGt53X/fpGCKDbvRSzzmtHIzdlVeAS8htkhAKrZVwfYYmGd1Xoj2BSCAAFppbZozBgajNUOCoGTmgj3QqgnbUKEAVKj/8r6lj5pfD0aeUrMaIKAoHI+8BqcdcYlQpyQasBDzq3B4gEL7bdrdzqSi41+oEzpEiBDEGPalqsRsEjSCEFuR6tQSwvFN4/D6fMJ7wqgW4wxEIfPci3ZUn+Z1WrkelDZIXvjcuipdHY+TfPAebC+NY8D8XVN/ybaqvB4qfoYycFbHdnQQKefVuf6zr1oJQsUvVIWZQ9VhX40CSExZRG2Lt/A6qeLpeoMUTG57MTdV4wZI4zsv3q7OmUbvjGrIE3JcVs6jIxjWlYy6rMoWea/ti5kDC9LVzNSmysg0G6bzoX7G83xkTIjUC/NAQ9sR50iVAecwwp16jwiMRRg7P/fFUdGZwU//3VdEazujDI1DE8xxMgpA8MGd1JHVNAGgqJiqdObq1at8boDlvMvh7faG6jT5EmnujKNmqDQtKJpDNM2GOCqTkFXONM4rXGA3qg83NnmowLgOJ6GtI4BWc1sbOReFlFn602wSQNjWAdJxPuWyymw0XoDZMFO90rCpeOvKrrE8u8qON8v6ZPaRPz7UKiRVDDBzcRxtPavwVAE2QFSCqWNI0lVO9Mx1g/UN88JQLOSuInxu1Ylwh/JpOqcj03fPPfe0DzH0lwadsL0dhUOFneRKCEsJian7gdrBxlxVKLZY8MUInbW7TkapizfVEayL4ceV1EVuEGG33XYb69JLmY1iIg5Vb3E9ah1YLDtH5/HLS6MiP66WVyjgzghVEf1sVHvbj2NE4FJkl78UYkAdNo/xw4oXk3MnFxyZDQGsKpb5aARQHyqQXljmrKp42YtQeGAJ8xsrsinblJhX/KdpxQ/oy35CauvKkyFYdbp3TGZHDjgpTs2XUrGsQ9HlUWVO4VgsOPRhvwriUGqhARRKvVU51FlUKnCk5dgKjU+qDZT2w9iQVFoWCBrFPyvRVGXJjaVNhOlmowZwKSpXBAigt8HAwloOVYVQ1d18DzXYgduRsE894nfKeJHIjTptr10dFFAHDgpbRdCZCrN6GDmM0A1cxtZtndgOb1+WRQQVkeDobFnBS8tPfOIT1AIetB45jf5QKVyAn02VoDFHRLstopSIwtrYUnPOfXkwdAJRN1ALOURSu6qx1r4RyhYVGFgAm6EObqpAhVAf4WyoNu+184SM0u5noxgfKSyXl6y0DUzKhSqeBtyipsxG/rSNK+bT4ShZ1CzMQw89pDZJQxjMpX2VFsf+6fiWpys9sRKsHI3KQNKsOTE/BM1JFeDLeFWM2o2k5EcffVT9EraXlepKGaD87gAf+aU6/Tpfcud+VGJvvZkpPauT1XW1PTaHSh4mgnYVDolagKDLj3/843Qs0goZocp5VV32XTBus7tVlRA+rqQ/RNks6lA1ObcVfLivaFddhB615+5QValoGDRBb5yNKDk7Y1eHfkFQdDj79ayCqjFOCW08RR7n08C92tHkcWwDhSnWbWhw17QTXgXa4KW5PM4Me+mll6LKRO8BRqDdsBAMnmE1HzFYgiJtZTaBZV6PUEQGICD7QlW6gzlvR7GhbeWSUGpVncAIMoFRjM5GuLNabdwkqAqVizzmkidbGzsgKPNImB8MCHbANqJjePVhUlD4UE4Rc96Uo2XS7xx5py2yYnCIXst2oEJx8nHKPNa1q1NDGHrLKl7dANpRZQU17N7Mue2OdZU4w6uWlfazqqJyDUbw6iwqrVTFosWIKUgfIJwC3xqtYQ3MR+By9jF5J2wQymzILMeuR6A8rmNCWOP06Nx59913Lypg98qVKyFoh1ZCZLI86ZhIoUMdEnOo4l7rOophXeWDrQoDdlYRtqx3cVRS4KkowKTNyNDPS/kh7rrrLghqRgTn45W6NYqKNdIh+5KBpZ19FXTN/SHNPtcY217UoQ2W8rjON51NapgdKnwXY8MRqDrn+hndEBm5lV12NpLATquynuIW51B9+fu8D/E1Z8InDxWat63sQqjJto4zwOTadELjVLfuxmnlZWCZjS/M6uCC5tttiIHLCZHcycmqcp/jMEFc1rXTA4ViUiL5lZ1aSFsnIKgj0v1EgXLPWS3wkhJTgNOzSnunFfRiMHLZUKKS7PvTOo+ZndUqpsknfOGuouVyJaYf/7SUrKwl6WaDUaGOKmWZamHr7iqs8lBpt0xRuDyORZ9rBL+1aitIdVlVOF1v40XFpJzb7L/7u79Ll5qiRItK8NUQnpEJRUCHif8OiOfdoJ1FHQ3CFbCqKreUNi0TzPM6YAKXth3XVbt7WcXAF1WylwVqvmx0GFgHjTEg9FnujX1ihWZ1SAKZBZLOgzjTtJ72qkqb9gBlSol4UbZK8tm6KiwCeBoUVKNrXhHSGGEbp2wFCq/hs0UsFcuJlTobLhRbBTzBl8xmVJjvQh0R3+E92yrrclx1fg4jnNDrWmEw25s6ouL555/P0BTy66AG64gi5/WhhMwqYakVspYt5yYI6pMqQ8AxytZV27NlEy+p+Wr2Y70Pk/gh8AQFc1PhK8bf3E4Qs00j/PdmnaZJ0GBakFLUc1yHrN4aHyJ/P8IdxetRrWgn4RwOtLFhGklajvLD1PlODTKulr+KJp6O5Ihl5TxK5uwdxZtxOqqv0DOcwyPOCSaHuW4rf8Rf0qf1XPf0kpxWoVcUjPMB+sF1sqjzovQwbHVTUW7HdX4xpsWip8asKsZaiodmTT55rTMhrNtuu+2RRx6hmVGd9xVqcbPODdiXDxGlLiuipnXo9k8sP/ShDykKglXMJwfX0KabhtjAdFK/4kazwsG7624gPmbDA9o2SGsYrSraRvs6YgqnPaq6ujC95gdaoGA1WGAB2jmzqvqctBNaDkGgIC/dRdVGhHhaIeeC/eVX9WygznUdaWTZbo7THKCy8DPStuUdESnUDNFg2PCOQ3lO2wxv031bhX3I6M04B1m88ssvv8ylQ9k/jILQUkgEXhMFoHxLMCtvBB5BxdxUJqDNgEHcc889J+PMVQNsxHFf0UH7KlloTS/XIZKGCbyclU96xTJvdWdWFV3mdagfAqIjG/z0eTvYnSig2dLJOMq21QXoC56viNS6ykmyWTpGytvb1j2qunhCC9FcZyfvyxGEWG+//fbzOoWjOlKDXqZDBB9C6Xp2eADECKVGi+rAITWYEZYk7EWFddtjNqRzAKCguzrumqVs6ijRsM3jSRGbRWXz6hXtyj03R1XI/Ug9mo+jRBwjZSxSsUlYMERDl8JmnEUFLm7HmqTfWZ3HTklv7TZKGwaJndP8LEfDTL4g2Zbs7DP6Bmv6HHWa3r2v2gfexHFtM51WCcZZObnstqbrXZ18hOsyhbTWkJWVu1mHdTdRIiAd3dTRvUdVlq23+6zyHWC25sVeFCAlTS977t3vfjdOYCU6VOhSlfj27MU6U3NWEdXipdibxASyY3LPh4+5uRE+/dr4iDpswdQB3Ew/Yyfr13UqjA1s1JYQtrkYPri2EDEYzDjkEo3w/e9/PyyKGYsHt4KIqqDHNDbrMt3/iwpD0B/qpiEDrkORZ1WP/lApHm2Sd7RMmwKNULSm9PpoEYp9wx4UwuZ9Le9XVfy43f5U10UVXptVAJCdt68IBUNaVcaE7dI6PlFLCuDeaB09HcoV7TaaBAbQ+XSX63TgG+PUluWIsDutMsyYHJFHLW2CIO6pVoJbjkY5eK5fnrX8a5FQs7W5WKV/TqounA3DdCJKKDdIENubVWhuY9Gmaz8CV2xgqUTm+VKVwudrX4563c6FQ7I0v9Zy1iPEb1PJq9K7+35cgHredgaOyzrOlCKpwzh8cFfePAr+vIr3kQ8u8mEbMg3Bbjmv6MeIbSF6KH8wLbs15VYLMF5rv6jwwtamMcZmCYeKg2iOaA8tK7IMy+m4l1ll6Lc4bieDftvH6kUJpQKcIFARlfM63k1itx7CDuwn6+ogTJyGmpI1yITORrkl25Eijw3jK0izzR02Uavqvm8q5nZTmcHrOt1zO3LtAVQmp5PPLo5Djg6F+5s3ZoG/R6MqJJRrXiXTRWrYbFHAz0bWsWhVLBbjgSsdKpQUTRuFPu9GxV5G6J133ikud1vFz8Wpzqu8Wys29r/F2lR56XOWOVXpW+o3H+5jepr/H6oY2rxq2O0qIJq91uiA/dRVAHDLNvF2FS7RAq7RtqPKIsIS8E4fmkT+Us9FxHJ3Lod3KJQkwDXXUdXxKKrLCECR2xHeQ23aVRzVYcSWiIloJyb1Dreg566rRgMTvRcJAsRcAKrBrJsnSf1jSezKFYuYaF0kY1OnLaeOjWmXnwhCw/9EPVD+7Em+Ud1Tz0wO0qYCMHlRyZk31GGctj1v2Dve8Q4Gr+RE2lgXgGli0vmTqhnZ/V9W+ta5VWgHEMPw0w77JAcbhpgyKsQ3qzLo9q7ZbGf+xXHozbxKYTeS636ioeHTRZUqtKGXdU7dtk5nZAQAbECa+fL2t7+dUbYd9f4brLrjjju4NfQZ3xXppktcez6rEZW1rM9RpfaSd7qKlwBjO8KncQq42mEcAwlOw7D5Yci4zQhibg4NoLdtcME2gWkdEFS/0mw2w0e5q3oCYjqOqn4E++N41F4Uwir8FYaXL6+88gp4GSKwqyRyOE4+igDmvTLDWGzLSqj3ls0kz6INI12yrLbWqu1t/7fSc6gzI8Sz6hD6XVdygSmYlfPI/PqCf7C8CGZttsNcIS+y9VbV0EF5qxFra4GpCGjutDKoeAJyMyUdBm3Bcl059TaIPLUdGeWx+HhJ+e/gBeh+PikjeKgzmLYVxoh5q1KBCDS7qgKNZ5OK4kejjiPG6dPSRFjVYoT9KFiC2bekJrO8zkyybdF6b0W8s/NLT6rY+MVRnZARfaij1Bko1GItcMLiN7PKvpRdkpnZDZ+mEGdFJfeVrwAKOa6zATr+B5213/qcKbRJ0gJyUacs+5dUogPJPdzUoVOogUn1K76IQ9XoRvhdUc2CMfcOIwKdXrmoiivSFigfN6tWkwRlE8pgJiIzZunzIZFMQeiMW6bjRRuzyRxFRRVmPhsxDnAsfFtXTRyI5FadbQbXyPeXXnqJVIXHxvgnAtwj8LJPtmHnstfMoRgpipEU+31lUJnqNjWwnFm5StoJe3kciiRMT/oucbke1Zc3VWhkXSVSQYwSG7lTbWmShDO+yUJAs01L9YQkW7izOkgBSRwq9305vB2Mbitu6s7Zf5T3o0k23KwS4mblaMTSO0D7uCry+GlZ5f9m5Z7cVRCSHoMeyDUaa7svmviWk8L8m3G8zKoidugcWDqWQBVohwnzkB7a2IynOgwtKu1PfvITehhKIq3oH9S7Zbnw/EpNptiKkMltschCnZwt0otbTwjhqoSD2pAX6gfT94EuVohy1nx6U+EktBESH0NaVp6t4J/DCNC7VKcSgzb0Id+zYc5GlRhuA2fK0YmFfAlwkJPo1fb5qqp5tb9ZZYdVHVyIUnEKDy4rSoJHaz855/f8JyuxKP88wQlKaO8VUmspKXzndHx6Og51vCCq2tX51b3nkOZ2xGgL3wb2YAOZd5rvcuTodUmFQ7nQ95OK05gKYu3cKaHDwhwY7RCHPBvuop+NEtmL9OLLdU7fbOSv2rubceL1fBTigh7J/HSWLrOfrpaXZnM7Q2U3AkuQ70kdUHBUUdQCyIS4uL6eFPloTKcBLTYEU4BZ443KSQIXyAHqyrJOKA7lsUuUabBDoJfYf4YD4BVRQ1jTnGiEjsw0xs59F15LRrkTVW2qcmSr5uc8TEj4ourfsXowgEWFJ7Si54psVeykpdt+Uh5pXqd8tRavagAbHiB0PDlliQLrwW3lmbWuho/Oq8Dctupgp/ErV66AZMkCZw+ZlBABp15mOQq+kAQdgwESDZak1YDdyFkVLB9yUSVbyqjwoXe+851UqOM6L52jEGWzeTNMqMdZnW3udYdJ2DhWStb7kCnNG9ou5mXKEBp5NgpNUctwI6zBeXph0ta4mXRLSZLRtHdRSToZamsn2/Xr119++WWAGW31tHI0VlUOY1cRe8Y+r7JeS4f4EAH9d1VHC7U7xbwbj7oA28qAuFlnHS6qInfTMpagLqOyH9k9kvJsR/ujBdymapZSqM+q/DCFY1PHholfC1WlHZHB6cOzzz57++23h9/YrLL/ohi5Mq/wG4Gdp5OKNB1meajyE3ldqMoYJX5RkJGXrULcQFlpxMsKQBI/s6yAegSNNbIlCVDw1bKywImIRuRvjIN0GyuBlJr8C5Wtzs5dVDhJdxJO0RVyej4vVjnqVqxxuKM6UnlV0VAXq1hth9eaNCwGJ55iY2AjvEow47laTbmeVQk8rezHOS2EwmyEgePSm3FigkYtSRPsvNzg80q/kekmkil76K677spEpBE1/n06NpcAJQIIu6nruvU2AH14yfHId0iDjqZxVrbiBdhtrOtcwRXIHQ5/keaoYVaH525GlDPKCFUxTYz9ch0AQysifSJEMgr2qVnGomjZZJxtoyQkChYpRWo36rOvQqO2Dcsxd+apS+Mk+oziRh26rM/01PUIQMXeyA12bsxkmjFDHjufVZTLxVFSD9u2drs6Bgfmvi8/+n6E2GP2hFiD7whA5wlHj5jkc7z6oYceCpt1is5pFXZq5POkTkDdVVkwosf2ulmVQm/VCQAg4xhooVTlLq9evRrFNsMQR2XGaQk2XLsvGg5pSELE8IU6s2VWZ1DJKl6Nsi3SoEVS0BhoOTLQRc+9HoW9XAp/pQtDHIitEJl8KRud7GaBkk3ZITCt1UiGO4yqyelzJ7nvK56brMHC93Wodps19A08gzKgw4tyBlNi8EV2QAhXFI1HOojZNssNoRK6FM6ajmVa3lDHbHsLsnAuOqYYVWFbR5UwgCAgnPe5zVEPJpYhOSuPKjpjPDUcgyj9RlNfAAAgAElEQVQzgZnbH/3oR6+rNcbMCb+pctyIF/pC90I6rI/FOGh6Walw4L6OzHcO8d13370Z+Y18BYwRxG7zpQezqgPbiJfOsL+aFhu/ZWGc1LnLy+FJZVVghNZJTeXFSOwEdebZrIH4XYSCozh+je2pLh6elFEz++lbbUOdjgqO+zoSB5tRAyJ9U8oWVbVJheAAqrQxWo4gKvAB7XM3Kp3QaMEo68lHthZILxOebotn1MnXxhmfSJDuta4DYxgrRMeqihHTktkiRBNZRKPNzVE2CDGHFdhmdJ72XG0qJxZsxjY/34F4Q8c/2Rz4R7tvJZ4fjRymkzpnbFVpF/MKdgDp5qlouMxjtQbaY0NM5Aqqsn0hHyTpenJ+OBT4uM7IPKtzgtBQJpSF1fws/P/yOMRWPfpIRnKHiwZpOoOOTi1n1zHSeEx6m13hQUHli1Fu9MY4ryDfQ0lUCsW0W3zfqprV+SgAcZgcgmezUXItKrOc+Otw+PWINjkvCzvWTClRU0cJWY8MEUebXKzjnyzt8ag/m56HD3mK/FlUtAjsFFggLMLrDiMIpT0HcLiusPr8889HnTgep+V0NiyxJsKgHbhwkGWdzX6+qQCP88rKvThO7EXv5rQdmR0a0EKN/WyZzbjsAzPeZaiOqlIeANoBBy37NUjA78qdTpwTK+xtoECmj15llr1Xm1jUj3/8Y1TFTrarzB1kkgLHUXhcZ0WxS/JTZPduxAuRvDI+8LD2E+DBGSBeyOkrpkCAjTCHTR1lSPHyFpYKnPnmKPCcRjYVIsxqVqhyVUdG0oRsOVUkYVHKHiMFugfMmfCiNDMCWqXzxiZr9g2MRu37XGQIz6t0qLMasUZmLG7Xxgp52jDErvJfXjeU+GW3dY6yDlEYVxW0TsSCCv3EIOKWckr7vCLt51WK2Gs2FaN8VKccrqpy1bpyXIm5DnBbVSwDfyrVNX+zeKTqspKC4C5IOUuirr9Slxwa+RX0J34tfUbczVEIICKgvQWUBlLMEXbrikeFiMKNVWrkM1lX7CEqlKAhgsCgqLqk+X5kkOITZAUjI7tC4uumQtPayYbR0tYVTt/W4REZuHz8szqtOHdmEhS4Z/g3QHAyqjuBNCleHulcSEj9UR0JE/LKl3AvAm1ZvjvYpFU4VEYMNvl6ZWnxqQ1+km7AYjwpw7h+/Xp4Y8wugux4HIl25513SmNHtuZuUeU0O5x8V1W8CB2y34pSL1hqRyOpRrpSQ3Y0/fYxUyM6qgTYSMzbFREHJ1V5J8PJ4tF53dY5fYxKmqkg/byIx2ZeGXMibsW74kbUgLPKq8nK4SKtIzri+3SkpDL1WeNtQ3X07KoOJGN/WKG8Rf20NjjmlS+6qKjGhkiY3hT/3Ma2FSpN5RIZS4uAxc+q6hUci7N5U5Gehzr/W1QF1eLatWuzka8LGlxUxuhZHel1mFQJXVcCzwpzvjHOADupAzzIfp+swQ9/+ENKUsgImK46I7G1H1FBurKtAu6Il1m0HaF5JnRX54XKVsXk2SkRCrMK8TupA0XBJ2wNg2k7Cx3YLtTwxSiowtw1Wgc0ZPlnlUKYAVJEqP/ZFVGt0sNsSk4eBRSUV22Fj0KzqFqjcr8EBubV8hpWI0laKCnIJ7uRJsrKo9PsK49l3mUOxlLBF+zPBx54gIymV2C3JFqop+MNQYOnVQ59XtXLEVw6GW4kNEPmPq0IztlRaB1kAVRqVLyR5yiv4VW43aHiQI1iVjFObQQsunz/rHzMh4oDxGnA9o4OWI7CvR/96EfvvfdeIGfe50Bso8pSOQWP1iWBmLVIS7O9qITYdYiVHZcv4D5gOqdVg6JoVNDjdF7k9FGQSRkwaQ+smWX6phTRcgQKCx3xLk7A5moZKadTn37IUY11HVdiMf2SY0p8DhpiCxMf6MlMUn2ABdKObSeVutyZPjs3kJajpGBn4e5GuMHpOBRoPWJEcSCrRkOCOXNn9ekVLDUtzKqcYtPEvkKp0FbD1JaPjUJqM8yFq+yqOtC8jvXrjXeo0JpzKsRaKQrzit2TIYkJscYZ5HIjqXtsBGwWD2MDE5QUWJwDf8LDlhWpLAQ0L8p2X9d5p4JobWV4DwqDl+4q3FmRlrNRtiXrwd5G0ywm3Mi4qNucgJg51x5lJYSShVyMw+KRjhCaS6NiO4US4OlIOsyADIWQHY1TdzajpOwLL7yQnmSuyDJoH+vB2BVN4HU5raSJ9PO2226js6ZvRoH3C4iw8OqRYOfqpDHBjkatUaIDYDQftXFhS3B55kuuK11he2DzzIt5BWMKC2AJOqlVnQgaKpWJGooxI5hNJaK1HrmCc2SZM6SXXnopD+SvktfRIsF0VEsOMlsfwmTSt5XaSoFojwRKyuYDjmOVtOZMZXhVhuc4sVVVG4Oi0VXhEWAtPqx1ZXOb91ujTtq8ouDZH2ZzO6KvhGTtRuUqsabAWDuYVydUpXu0vTTIBhQMI+hlWcVF2x2ErR5GYDiHTF4RYs09TgMIq8sAG9uUwv9aHYvHJ3s2zhE+q8queKQtYcEYVQwutlE7E/fl8VxUlorY0bNRjBSzABJh8JYM6Qj1PtQ5K/tKHe0Ii1bwyceMK2Rq3c38rKoYb8uDflYFcFrrWpm7jPnll1/GmW+//XYFWKkysvD4wBFjW0AYpiuUsCYv4p8UwE6JIai3SgEq0+FGzPWWd72Hug/0dBE1ZK5dtamjdRhQ1HYHMEGY7Frpcty65mtVAa4gDGSKLs8q59G/thb15aSqTAmagw9jdeCP3IM1Us8BN4dKCKBfUo8aPmzPPULZ1jHB7ZXbV9KAChSQDnOLHPlPF+P8RFRi1TH4bZUFBJoQ7ryZ3FAX60RIC7qu7AdmfjY/kIIcbIe09zZFWrX0UBnwldS5PBaFUVIKndrZUQiFgryu0463VUR5V0F/uZmih9VTaUnGeQW+KYzGBBNDx0qnAGKzHa7EvmgPVPMhIvzSONCQwzV7gCdnUyVWUTyYTTQVHZy+EqEDVT+tgmwoWIgz9Jwb1d5VTgMaZLdkGeBhbMNlHU/cESytJ+Sl6Z7oq1aN6eksO2Z47pmPgnqN6Zhnmm5aE2KUB0XGyp/hSop44X6d1elRuMOsqm8cKv2OckwXzJxsqwoDWPuo6mvi6IT+bMQRzSqDoZPM2suHyA4VGGxl1X5aXr16NYp5Okfz2E7q5rQ2x+MGEcCNG53/xTgOiZUhKBG0A9hcVYVPjJ1gBSufjhJQWBHsalm1J7uMQkdbwEjDhPLFiVnLUU2aGUGLog/tKxYbmk9JPxt1i3NPHoErUhqyTpiQuTgbhTo2IzK9qZlShV6nkSHbisUwufOqGA2yUlpdhg9+v6wMx6hHyI78inyAUWNU2yp/J/kiN7gfcmsP2IF5xfl5k0MKb8fhkrRhsVZElQlH1rqXAVJeD1UDx6CWFR8WqqLA2Uu0cokVuyq30Wj2vrJ9iE6ly/JItOfzDZ3efP/735dD4q049rzCqiDvzSfQGesDe7ebm5EqHwUXcAbQWdV2skWOq3oHPLrp/WhycnprYxRh58MoG0ScoWk3sIMsidjt3JBJFPSSNWCOgUzDX7Pp+V5mVbsmjTA70uH2HCzr/GN7FNto5/FZhXouR+UjvU0PN3VQY9pkOHf0AVcYSWr4pFUGpQgqMJNzyUymQX4qw788zjYTdTgbkcf6mV6l5zfrCB2hL/pMYrC6xIUCAk8rq7ZjLhCQIXe9yUUlbnVkVO95/nvmsGA1h1+sCEsYIFsP326X+KpOu2SzKPklBqiZVibrqE7XyZvuuuuukDweZmE6fWAxgl6WVROhYf12FNKgNyO9QqxcWwDey3EJEhMUlc2Bo7TrlN2wG/GTDH4OE1S1G7n2zs+h0mqT+1nyDM29C9SAcKlKBFkLBfA6PfXyODqQWZSJTseWdQIU9xxjE7BC+tsJF8bpGMIJnTHOxmxmmV/pvquRQYnrZz5jXd0cJSQsIpVgVmkveg4OtRXhEUzyeR3zLHZyX7W1WTCm2lbnSZu6DVpPSIdFplh6HOR14hYvxlJg74ipPVSyId8QQr48ao3OqnQCkxvNMjSc5mALEha5nlWcV9WGVSVyNF0yoXmaGz/EikWDcIlY0WXFv0aozSt4jXReV6p42ziSBy+OQ0H3k+LhPAr5osB6Gs9OsDxKfc6qHonhUzX4hTxyVKlNvEMo7Kiqtma6VYukm66qStGuDmZXypHRZ2iLUWTVgwSQRQJShIC2VZse6CBGiqZ1Og4G1AJ93Ejp8h1CQuudVe1kwWegvqNKYssA3/Oe97RxSi6JZ2QKuAhWBEweV6kzKtdJHVz6OkMKhxQvsK/Dj7aV1WSW++QWkpuhThyg2bZ7uXLzPVwR+91UtbHjKhd4qPRoYRG23a6O3DiuI31ZDEeVkgXc4tthneVX+CrzqiN991W4IovnENE+Ofy4qqLhzXkwrMUGJest9mxyEt+qCntEWtFqVXufjSBBOgqPtc5zM3N9RiNEf/LYslW6ugtHFoRpOSLTqYkiasRME47K5kaXclQO+mip8toopHvlypXDJG2TRbkdvjjCsX0vjYiahN7hzEB+qliCDAsdswp4rTNyiEJCnwbZSRLUoVWHXriVu8A+aIfPSZXXPlSlaNEB8oxp5Qpvgp2oIHfccQdEhHu7odF1JRPvKszcCeEdUACksaFdZAdZDNzUkEQhEw34XEdoAQPFgQn5YCGjG25HHAgUTo+ksO8qI15lBMq4XAnDEd3FLsEmadDY9rKCvCk9IT5RgSymPE4e7ScpTBg8q4pkcahJ8+8QaIe+sCTQKORd+gksHi7FrgzNYW82Kj1hXQc+tBfSQne9Xc5BQfoKYdqWgo3ZLqD808pDtrKrqpZ9TmGnVdZ2VomLh0lmTxO70JS0guuCbSwhyrCtN1XIoC0ySiKgdluJl+TCqqLjN5WcflTV6O08iMO6Mtr0HuiH+ckGFiXBgJiNnEEESlFDqbgUb6CsHgmoEE7mjDR5fI4ozOPkOK8DHzY3tiGwxlWjnFfdHk4P3qTTys0SdnKoejKz+iyrrti2Eq+9N51Ud8nKyV/djfIK85FuhG2Il7rttts2leCwqAItHKxsUjoMA3lR5Q6Ycos6a4lWKkNzXxGd60qwRmcyMeeV2GKrL6sCoJVFTudWIRF7Vod8eBnSBiKsKtQ/Nq0x50mA0FGlplCGOHpPq64SRYRiRFYe6pQHxDqr3PB5nVTmStuGpIaRt4cL3XO7ntS5GHTBt73tbZ4KAek5pZ65hwTxs5uj9hqgHBfBdy+MSr67EX2Ph60q3YiAkwXFX4myeU7pduS79sUgbCsjDwZLiOf+vHpZ4UlMSNENdHxMxTClPFhdP4kAOBkFPDwyReFpQheqkMS+alTtR0Qagkb61qjJom3208o52FW9/lUlYGIHuOa8ahQu6rOsUpcravysThG+OSkXBi9pa5PPNZOYDaoO59mIF51VpZQ2RPdVQQUr2v3fhGkEhHs1mzyuI+zICAAsjWc5ibhnpxhSm6LWr6P57Jj9iAXSFOdGyEXWNQNbEqnJkke0rtLinl2OhE/xqE6c+9nPfiYyLBctEn5/VqXP+E9mk0OsdNUJ8pBrPq60E+P8pZdemnqQYvf1kpPa2DlB1jgnbmGHKyVHQ+hosy7EkiWb+nns56PJ6WtnVQmRg1KcDDnObaAn6zpxuHGsXoV5nZLUugrs4/9T2aIORKAgmyxjS0ehpvnpLeODT4JkRDu1ObqvEI6eDtvCnmPZsrGxEwvcDTaYe7EKimyr9M2+chLxRdqSiT4eFRlxJnAzYAwDJs70dl9Hv7YjSMvb+ojps2DqMq7HGSrzKkZPYe/qCdbpUp0EyaZWGBxvgB0cqsJK6EmhGFHImhIzTcVhlnKQN0Ztt5APHBii17PJQ/GQC2iLSZMuBkroQOrlpHT7rAK8KAaMZYrNrILU05NwRFEYxtI7XH/OJgePzyvUFlM4T7FvWNb7mLUUZOCEkiYIQsrycRVIZfStK1XjUEVX4EY4X3tAVxXDuqu4Pxy4v+wrouNQZ76ZjkVVoAOr2hz40L4OjZpV5aqOdxWax7AyxbdGhXezvx3ROCAMsXtYzr5i8bL2IrcoeULgaWzUdhk+tnVMYDKUpZkGRV06CHJT2Vd2aXvJVlVWM/o1b4SoYpj7pToDjCN8MTK6KILUqR5d72ErshwnBsoh48lpksLyl1WM01g6mtRst/RcV/ayYj4ndQQmNrSvsrG7qqHX4vJcCcED2UHbyijaV4G5eXn6vNJxP7OqbLuuclb2Pee0vtLDjqoe0Kpqgu8qgc5TJt2D/qUYHarwsMWY19Gx20nZneyk/aTyuAZXVZkTndnKdm22x7333svQa0+cnjPZhHjH1D0MRzLRH3LhMj8dxbego470pVlnTsSTrSubaD+K3nAGdIBeB5z5d12H81pIAAr+R+WKBkZ3bjZGJgILjI52iNNTAWmcr776qtiv1vOs+mGEC9jYrfLmNlzKPb3/yT5siYdjVuUhL1aluF1VK15V1Z15BRsuP/nJT7aGLyAO92qB6hm6YXuOF1WobWrBzatcybJy3NqZP6sTMjrA5rTOuhWDsK9Po1BoTnBBj6Gt1EUFOjZssagzWnpG9nXwE1Va5TvQkRfRfyFVNGK11BA6Tb8xIe9SCruh6sg1qDQ7xr6C8OXTmb0kKQO29xs1iMVwOjLPusilm1mUHc3SKB3+l/fKkcdIjqtwhthXfWjscFmViM+q/hnRtqijly7VuRVUCMo7C/1QUaOgwV76WVWjbaV2VaeenIugj33sYxeq8BX7q6MmtnXI59GoH8T1LaPwrKrE+Lh/6no7qnJq68oha7lphMcjeRxT7LzF9aT4x2FSautQTnVNYeazyWnEuE5TnlA1jI1+LWPWDPJ1iupZjaxXTVF+HQhIL5SZKIq6l4EDmA0PZJJYoWQXYK/9/IbTupE4dISidrClioVPZ2IWmN7/19W97MpyZeUCjsjIzLWXix6Csottl43rwkWULIS5CCQk6FSHZ+BBaCBBix5ItHgZXqEkJAssUxd82yDROeC991qZEXnGmp//ccJnNbbWzpUZGTHnmOP6j3/YUTfg8e0Un73v/BQGgBJNKTROsHNllHrnw6aRWSUKvbD+BIb6GAo+qDLsLK04ncZnmWR2SRsF8RJwON7LH/7hH7aH5Ih0oPGQlg+r4yGpCpmeLZTunUnvOGBLU/wlw1efZaj4LXTfYvglsJN9GNzBRSu2duo92952X0OeRox8nUQORSunSr2rZLEm00i9crB4MFTLGqo7ut3BVSEtEZH4ZVZq6XXQO+5CSKKvVMXB5+2aSOUmO4ir9+ie1cdhU6kfTnrXLkXBgs3SfHx2JtKlSJU8uKAeCUCPk7XRe6eC1vTt3WFAfe4R6qo6doHj5MfdekBqjA/35M/YG77tQyhG654UZbn9Agc6Zg1Nt/tjCm3AabRFLGmHd0ZpjocwKLuzJYM3lkxJ5UT7FLE7pDN9TvcsfWZF1LNuIWc/Bld9zHgwKqeluY+XGcTHEI4p+HQDIPlwNc5E11i8/5133hED1m45zZ59Cn6B+2WoJHGXYHuWGZz1S0kzuwajUftnxPwcbCPh0EHUaZ3OPSrvdLTP5LV5lSorJYrvHvStvVvr+XpHsnoLdhfUgldgZAGrJUCZMmXD1y0ZSLOGFN0ZdldPUl4ayyWUF+QPuQJ6b3pZ6cP2gaQNrd2WTGabM+ay3ToHzkmdRinAKtCfwisl7SUkqs7KHOjOs4zCJo4c0iUNd9TYMS1oc2CNVvA8MF7ytE78cYBtuCnHTLiYgmuDPFvCR9BSBXUJp9BZUKcZt2Ab2dKC9funn35KHTI0pT/k/1yzhE8sWVIC+X3ZQTG1Mnvkzg7eBsepFqlrcFG3dF85e9MoehJoclD/pdv+J+M2Kb9epbuQLeoaFxVK1jfk6RIybP5S//eY+UitMunXo0N8ySBQsbdwpke3C3no5GtIzBud3PBZ+okhuAYy67bkEsnuljHJS0C0Dvq0Y2h1cKFSaddrRtD03a+hjFsyq6fDCKLPcDgAW3gZ1zSjUgm8E+O1Wa56/P8ZY0jp5jmI5zfGT9nB66Bzue7oSQEbKY8SCAV7UWpdgfiWalTpYzLOo5FL8dgxnncU3LK4sr5TCMbK9pknpXLH46HwlMb/N8N8hC8e/JKmqXbbOxcl/JeQE7q5sTllTU7OIbz8t0yitFAKpu3bnL45XevJeYcbbg1hQWlj20Ci5QI6jXHKTOxTuA9Paah1kqY0GNGNHdnRH53evQXnKnrYQqCoIMj9YpIcrynw9mU3PdoBsp1dS+io8DL6t06hqpozdUw0Xj/g1Gv4M3U4HgbSV3DEJS/74rxpCmWL68FLXakBN9FI70Q9YAmEoyjT2AHsdXR87C0+N3fOz2UHyyZzwn6iI1S/pUmY6VBguM88Ev7ctzKqfg0h6JJhx0vYePv8S8fYmvoWhaaG6HByOhjv9AqXa07r/ZP1cLjvwnQt1qAJoBkvGbkJ/HTLyJdrZhE22KZdKHm5Tmy2JrulLOO4nDOfwi7uq4cttVtaXtcw8rSXdkubhrU+hZX0GOrEljkmfkoDRekkEZ/T8jhaACTB19HSYw/aiSl5EmnLYeII8SxgCPcZ7aHUiCd8C2WerClOJZBLX8RgdaBwG5VmZ0lWttOY7UFzy8QfXMNtUD+yOf70q7/6qwrPtwHeshQKjqzwMaNxaZBOqXBaJIGPmS64ZNjCEk7A9k9OmRDQbmg72WfzCu8GLUznq+QVbxkISPeQqr0DaDsvmZvIynSSiV3Y0rjtYD2Gv4sK6XhzGlCq/y+N2ydAYXENlGUJcTxb3I/6uAMKX9Jgs6V0eAq33etwpq/pUlRfc0ZBMeeBVCbQbS5VPD766KMyamswq4Kb4+i1Av55yGCB8wCXfvbZZyVYb731FteYfwbb85i5t1ZYc5GjyyLfUgSEZYDFuI6mhLoZhk87JKO2pPlFtxlvrBNRLcGd8SdDksDTaAJ1V0239DIcuI7fKUPw2p2yg+SeXlCcfipG/dmf/RklRGm1VuRUEfZ1gAb73Hcyt1URT/Au9N9r+NO8/5aJS6zqFszJKWN9Lpl/2XrC+ZvDgSMZdttNm+aFAGCR9dOozM/h53R7LXbewCCqNFvxKdzDW1hZ4W20WnBdYfrqG7/88ktjBwh9+wm6XmHVDyO9LnCuX8or+uVf/mXJBQEy/nByBn5uk4T31ENjNSmwY2B6PLZSfluIW9t37lPHYdWCsD+Kkhfy/oJrCZS7UOfxfdUqsDudQ6ft9hw5FsNuWsP+3l7PJ731x3/8x4eQFNYnv/jiC0kHgg8y2jkt4rmPCGhR3+pTHUZ1bbJztdc0/6ht0R8Ev12KDgu6SsCYbqFqpe0aYT1lILGMUV/qIc1nLrJk8gXrI4eypp33Mtq+Wz1QhHW1EpS7kPDqrKTwXISq5oFpyFarOQ/gsoYfoNBng3hITO4REBRAPBOgbw3KYGkLOYtjCKGsM5hrXVkS1dmQSqCBUA06RQwfMCBgTEdpTNgbobW97mYfExeokGdjmAr6Vm9z2i01wVVnpA7U4qiYJ5X853/+521QFT6paMEn/+A60MDyW8peRMfPaXTwWdAtbL5TeDLJ2ZqezHMGfnRE6ecYkFrjMU6ZhAalSaqc0WvmBsof2jkqhAY9jZ4iR38N572P34XJrRUYxa6nnsnrapK04XmA0Aklta3xwWf5VVx1luU06DQ4gnoTAPFKex0yMo4jKN1F117SPXYOl1V39hHHdXT0d138PgSTNhVrpj2WdppDYOwQGgZ7yhwyzpbumt6I026I3JK5Cq1KQMFcubfJtu41yNeu85/+6Z9umY0zh+vslJkAJEllwzoyvXarUQkcxjnQaVe/hjriluLMJZP73FyDDm4pefIBBaTtV51HW9IaUNc1w3Af0/4q5lC7vWXY4i1TVVtZCiG7ks9oqrUzEKWf+sWHTEicMl+4/kr+6mZqU+WZytPn4tgJT+Se665evHhR/y0Hq66g3tJbKKfgSLRm5aY0dsWNSRY4KrTUtmtubkyEALD2q76091vdiWLrmG4NWFy8AqZ2GnSHVB0BcloEy1MIVPd5nK7ezKkszzs4zXFLu1+rh6673WUKyP0giev6oDuT/tFBaqzP8+fPa/Wh56aM3HQEHUen30QaelEyiaImBCzLIWDR42h4OmTgERlyq13cXDOFhoJUcWqH7Lib7dZAABfnpaodMT2db6QPukgHOMSlO4+Bho+DzGhLEaNeb/5SAUdtGGBgrVKtj0RdfQUSyuWbYFpljy5RyIZYBC7gnCmkncG6jn4WlZZrBmbpR1WsFCT22VtDjSyA0F+ksZbDx81VGbyl/MehBFG5y0imfkN/7xL2qzYaX89rfEwDuygArv5bGfrLOegMdcc1PDBs2NyCu9HR2jEdHX7NTIAtffedrOrggtys4f/w3ymzGE6h0ms3y5OwIJ2N5Cl2/NEuoH2iwzpl72jSoGx6x7BLBrhjiNhG3vmXMm+271n26zDwpfLm7M6acp56sN3tnHXJ6DXTs85pQJID8x7LNYWj9THjbQ/BNVg9GuW8m1ogEYX4uSM1qtehXcKvJNW0BTowZ+SHE3gJT+KWZsM5ZLBrSiNrkDZbCv+d09oGhGT58Y9/3AkbRlDbna4B9UGpBwfOk/Q2dPBixW+h7O50FAGiObTxWB1Hx6VOwVM4iOIjN+rr+g7dwF4VEcr24cRKp3Dbr6k5HEJ/3QEmgteOp5R0ttF3tXdfUMaJXqeQI7bU2gmHVWGeOygevBukh3NgF8yWK5Mh1XFS0ilH4s5UecBTSKnZo28NOtbrYDVXfpGqQJC0JS18CAR+v1B1SwL8x/RvNTxEKOowy5p2jNU5oykTlnq76Z1WpVsGWS4/+tGPwJz5Pdwpi0sZvAr9teXusIsbsdokOD8AACAASURBVCXregiD9zFTgNdR87pl1pJ1USZqRajWRswdI9mjjnqWjNfu1sItFUNHimS7KztKBPedFA197NCVCqT/p9Dq2T8R4kO4gb/ajRC/jYoqhVTXV05pHAQjfhoEgsqj3/72t9F4WFJtFO3xtE2ZQoWg/sH0sKen9LtaK5ZOKOqreR3ycPLy55BfdPHUwgKRO8Pt+YjshPwcfOpKmoPX33iTtqdzGpiPGazcbhbb/SSdH374YT2/gVK0oimxH3/8cZ25zz//nAXRJkV/bsFg3ELl5rAeB6h8Do7AQ14zFW3a8Z/cZwCTTLSUVb9zbwjY9cZ0H3fgUiLbOVtrAYQ4BWPE/bIHFD43a82w0GlXoGwDjWHG+wFpXI1hIoV3g+z+zTffVGbggHJcrplRVQuLEvKcPqh2pf83Q53JU4M1KNRnmSwCICUzAoxPn3FSSWFtjb5FFhyLrATH/W6aBkN0GHUqMS+tVh/skN9SeMM1RGqOaxvKLRyzGnS3YJq3dK9g7ji6lYfR/GkEHjcNrK+WRnZEEU3mhrNlM3xlp7N9U6fmCATDd8hYlDn9d3NgrJjjrFTnpeBbCN8UPiPaq1PMfUoIPdllFzpoULLd187FK3Qehe/mbeccvAY10wnYu4xm8USylHbRbfNwqRmdomodjVl4CIPBYQf/XcZUqTY37C873niQLQyrwlL5Dn4VUSaC7TYdQu/O5HFp7jKfRjaOAXXktId4dq8wlDzRKV0Ynr2T4cq4Jtex6aq0gPlH4GhFA++7ZFCvJ8RAYoTpIYl4ku6wuifNM53J2AKhaXeYmB8y1e2Q7tbjGNrxOnOgyD6XmeDeMkRZ/OjEC+La11mC5ZpGw+p19PodRgsvtwOS7JABi9MOj9ppM1jk16GZ1MvATEDCOHJUab0Z5n0K+7lqVffZ9QneBh+Vw+Oy3cJPwuRNrI/cEnN/CkyjF/ztt9+uX6DwyJOjjpLuWdgitpGXp9c7Bmo/vU0K7A0n52ug+njbLYypLzNAuds0qLEl5FjnoHAPYU3uXX7q0rGymt2aWeBZxoeKkB0Ft0Kob2Es4o5AaHTY4pfj6Oq5ZuYHYWcNLxlyR1l2ANhaxO+eh5zRmvRZr+CWIUFbQGBfZQD4ZaBhVejIB6O2hi/O9YV+spds+iGtL68Gn5v4vAM3yrhTOA0H6oQhpBez4tuFw4qwEs7AzWv40+bBV8hbOo1aGzZXW0sTY+1CYgOfCGslIOUcS7KvKYbeMoNYd7ikHSNTe+0izzKkxBpq6/Bcon45M+b+lqF2tumScSSdqpQZeCo7/tZv/RZA42mUprm99a/5b/Wnzk07SQ6QvpQtLMiXICAcwYdMmK6TqpvljdBfH1IldH+E7N133+0MglTZIX3irXVbpS9pMuuj3BkXx1FyaA6KENDKd8GUdgQO+kwRbqMk8jpzDCme4wBwMm2txrp86XCjrhBQXzKAyJ3zERlZX0qlKR2qkBB6myo8orckosvgdk6rLogOqfGV3sYDlsmruGHezUO8S19CUzIhmQHxYGcEmJwfdXRXuGTOXm/TlrLKluFTXXbsWKR9uKMQHTEkH6t+f+uttx7GnMFPPvlkHR1259CjNR7mZbhitUN1Or4NouqslGljle4yZPHlmGOj0/yzzz6rU44YQwarT4aw3MF1epZgH9ovkVMg3NfwTfC9+D2keQvB+nUQCT1khAQfiIYgKzoE+3nF4VZ5TdmxUbydouzQiQW3YqKkVyG1fhworiWcAwrbz0JuewyonzqE4C1VisyNWFgNotxVGtDCHv7TmN5GLZOkjkZpR1Z4zSzj+8y6Urz6KtNo59ROnNspaMFj5gLNgcdt6TSp1Vv+4i/+QgTUlM68kJ/97Gf4Pz744IMuMDHMh/R7/FJmzVOD3Jpbik1zuLmmXTsNV9Gj9vk2CUc80q3c267sOAcMDsnjcK+Zk3uXTnxndJ+n5gLzfO1lI2E4qsJSe/Nsx9l8GqO26ndzN5ZMiLCaj+G52EZ14SEkJR27+K66oKTRFuCavLY0pm6IOd302sG5H7fUbUoC6uDRqdIHL168EPyikGCkrKSn5keLXRxmWFBlhjUgzWfpOqa0wIMhlDxIRzCd0iMb+4BpTn3al8pcfu28Ixg5jo456pHZruv+5m/+5ve//30+LO4QGS/2YgkSQVcPBTYHTcD6HEerTGOMGK933nmnNLajIIuNiGweCX3ionKypYjZztmWLmTRSme8ZH6deIX3Q+gC27Is6fG9pi8XdxRYxxK0T2dlwRnaRwZyugQ2KEFQP1DtVqbz2qrCc0DxHCDBChYQYlGLf7djOBeJr5lBIvGxDs5EdEueGnerM2CmknFlAIyngelruey0OwX5ckzOonTZd4cWwxEORGNjH0MXPQcg1KqBKXcApgB61WFFNk+q5E/+5E8Q3kv/1zFSZ6jt/+EPf7gGTFxfjJxzHTX2euBf+7VfY79tw/2Y20lg6f9rBkvbMz0apMqc5scMJ/aGzlGpvrWjPaVXURqpfWTnrxMZftb087SoPQs5pTxqAyseMnG+815begBl0S4DLY43sW5YH4Sc4X3YDxlT3j1KND3ynJVLJjqfd3QSzue06yjhwt7vRtILLAjZNbzq7o2MHgesQ3NHyVxXsum2c8a3SnpRXdeQsIPOfpUZxCYp13vKKPP3YZnuwrp4CiKhI8fOpXf+75RJW+paT4hcDbguBF5cRpBk/PSnPyXmkmMff/yxmeGW3jPgBdDFylkRS7/cMYhaIDL+xRdflGCZ4DVn1O+rcNsz8DykNePN3bo0DB+oIVynwJE7+e7Z2qBvoQDxwSWUaA6iW72klU2y3hsElfV0YhzP5f3dP0MFOhtNCnLJ6F4pULfKj6lXyJlaXie0RAO3kMjL4yhay8cKCxgs+2dxesSS5qIpzTx1z7XIVkyOAChDSU1HEL3S/ZVmkXToLThYwlQwhwyhA3yxRadMRT/WmR17QpCWpnk1aNbdcd1BHbhaPnrCd8sncb2PwRB7WjttCpmcGwH3hqbFaTCCESNz0NzMVtOpzekemYL7uaRJspN+shi2bUprwDFlROrqPmyXnsKxW1Jydj8E6BjadwGgs9hS+xjwZF2QP3DLTId28k7hyFtSoGVb+Z3cL9hlWQB2Rx22vUOH/jB6k9hE2EMqCl+jsEZCgVz2szC40nvuRPNj3Sc3lxw4JMeUXxHyarV9THsIX7YdWQsoMdSGiEKdQqRLTDmprvY1oaA/NKyPsROFksdLWjVOIcRivExFs17l7E+jt3gO0wYGgdNAotF265hALnN4DRGULM6a8Vr26RA+E17ILWAsYs1OtUJm4znpnZqnhqkZEjmnYZd8tGFth6/diIcMnOkoASi0NtvNE1CDk7cdd8MScDD52JtUnX2ib0YfypSLIzPUGRPVbo42K0bOxATKwxZHypQ/Mwfs+pAxJ2IXyrjBg7cgdqxDGcHScGLt9lyt27SfbXn8mv+REbiGf0YUqUQhUfekSv7oj/5ISaturp6ztFe5Vr/+678+h2BjDaebrIyFc0x5KoSye6Rg4upGJXjksYQkhxR6eYKqb7cApbcdruMWOpq7TH5vKo6GJMw7TNyawbjt9q3B1HcSyF87y7Xt0KT8cV/tTyI4PMQWlPfTCngZ4+nkYgANHtNFoixGCCQePZ04SXjE3BBB7gRO4e66k/FaU/K/ZkYfH3QeBT5Kq5Z6SamnKy3zoGCtLbjbNSJYEGyxekO4eurxTuwt0xU7+zWFObZ92XZw78Jm1aXhKUDT5YMPPtjGXLj6w7vvvluRID2EoolRA3RUsX9Mh2Cnv9uR6lph/VLCWsL00UcflZDJI9jRznefQs5G8cohTcHh8I0oS5CHThm3/eqzNYc8zennl9BP6oCd12VPH3dE1jKTlq97kdvNEkPJG007oIQEvRsTgnWgyhh1boKtv6RD0E16EMF4Z+AexkSP9g4PA+YlfdXVGA4fgpNt8APcRoVYJIuX8JDe1D4Sbb4pKhamzHodeN25j+GefdjNn5pSu1zTN/WYyZeH9EI+plOcBzkNwP55YHGX999/3zTl3/7t337zzTdVnZxjlphUOTosAtTOFoCvCOUaEqzHQdRWZvHnP/95/beElQtMaZ/GnIhDWBvqg2iou5A3j7EczD/3jqOwpaa0pOzIwraXtqXT7Ri6wDXI5kN++k/2vmPPLXgN1mENtfNhFEOk7nwEemLNOE+8IIyjNdU0ccyQ9zWEKNtgivNEokiRijzkNdgvMaBoprOO13Aadol6yxAy6UAhtpuRZnMnKr/NgajEUh+pTa811yjRWVPKphfqlNHRcpYijN6jPjltKKg60d7T6arPvPfee575F7/4xW2wgUlmnEIE8CrDIFtdHYLEgtZ9memEL1680Dtb4mKyo7sEbiaFms2p94fRAsXxdEqQONxnoNkyyk+HECcBpUz5oTOszhoCrS1M+ZRBn79WHlvAaJeQZ1ISkmccWFgJZ73UOVmhOD17/UvgeJkC6rptqakO0Kh8yHEBipwf7/CacZXTwJic0jtKdv3cRkcNbSQC9dSvBv8WphrjJukwy0Xn1ba+yvxplPfbmO1gEEYHrfaXc3YLpPswqhS9hq1uKUWS9JjG1yU4QVHgE8tSuVO1QCjqX2Xe9X3mjD1mgIAsMzvF/F128xrnMUj9YYzTrWPxgx/8wCRByc/7NO9eB6qkdFhd4ZNPPrFbNLxtljBTMOaFnDI7mQAxnUuI3dyJsH8Nbo7WWULsPmd80hye+lt4yZ9lIG9nBy4Br80B4+pcckD54zxZoSJ51SnPVaDRRRuHgBm19DC1oFHyyU3W4MTWgn/++ee09cNoQ4dZEFGVNmLawGxgJY6Z9EFBwjjJS8lrONtG+SlTOhKPGWvtETqJeAxmxGk5pi3Zue28I/9HXk0DdycNXOQpbVMPIyiA+b+OXtt1NPuuYXZsM9z1wfNoIBFrOMdvv/02PV8/xjDjAjB+SHbRm7m9KIEki4ksyXMsnoXz7WFHUtomrCvwdtHhbpbfOQxbvKLjroGifYIloELqUEHTUWFxbuGP4G14xse0Pqs9PKRLEdsFx0uReB0lXv1k9XGT1RQhpCI7Z/YsxHdw63znZ+E44UfKdGyp/gonH9K3PacrU6R8280A39IQu4Qv/fWYugMRNAdf2Rv9Ojz7t8ylOmbeEY3VbmhDTh7DMHMKQ+yTpNLhwh+Yw9chG/YkFMlxFPaprnlQDs/prG+8Zefo0QCVjEKtAEBaC65YHXHDag+jy9vJ5qty0bYwiXtggEkalPtJMzvxdmsOjRbt3WJEx5wzeaVNJB1D3J8/f14aly6kYF5l6hV3ygeJHTrTrrsd052HWJqyZNypcIVqt+o0yh5dwrPNRlOZp9FWekvPyBwy6WWMkAH17IoCJ1r4xoox1usoYPsgO87yNnDjmK4FR5oRXAK0d+oeMpZXUqOr48dU1o+ZLOFOao+UuXzX8ju/8zvQSEuoTuTfriHF24KL4GK7lmq8RABnU3qX6+3cGDy5jRqzwrvlqG2Teec0lBWWnuhJQKfAZJFzqj+4mXM6yWggGSyLK+E7j6LeY2gRDqnPs93O06tQnvbWukN5JrDHNfX4Pu4cfN5SA+i6ECurol2HD9RCabirJBNKI45BVzsasNSBG4PwMlzfU4aL0OveeRl9hQ+D0FFHEKxwXaG8W2k8o9SpFvtSgv6d73xHKdA1r+GH6gS64+0VLqnb29K0s4R5v3PXW4g5nNgnPNaPf/xjqghSh/IQxHUwIll6HlhslaZrBooKvGnv12M8XWdHJY1ug4GYWroOhGqfg/qvwXyPgW+L2BtA0Q4QoIGZ5+cMae5oRTQnRX4XUDVPa9pxYHSw5hXKzKI74tcBp7E33D55S0PY+rDiSZNA30LWyg2i9aFZ0Bu1s09xqife0mAnPcG+EOLmjVH8fghpKhPRWdzHcJNiqbQFFEbJGXFnsq2SGMu400sYEqZRnnqdOaB8dq1TNu68GzsinqCcRHWHFBBfZ3q08NOiLb/xG79BSXIyaODLQCduweHzcqZMkRC/bOFk6lzRHHTovGPl5zr8+7//uwLZYQC56pcX46fRtA6ERS+rVFtSOpzWfPPNNyXf0FORDOpdWv82UCJ0WMM+edaSYftUlle24J47CqF95axPwYhCgLkxmTxeSBfs3DCt05GjzlUbBkrVtAvzqDFwPXmxXdXhgb0a1HtSTbc0OHX+6X6wq5EwqQH/XdOIJoqnb14NFrhLmA054HhvG3MBwQEtww5Q9l2WfR3mjnY2yKW4u72FjqteDsqxJ/IiEnpMozDdyMeieLjPMBvyVQjW113DoN2VCJA4WNNbUfJRdy/1cBcmYA5yOe/taRKIemxhxZwpQvW2n//858cx2pm4y+/bZhyNYG7XAPo630Ni6CTpzWuI/4RXNJw1Akha0zG77Op33f0HSXLOPMH2Kds2cQDeCLsVdr9z5uORS0QuQtpbeAB4Kp34gIAog1L/QibiNQUqPI5SqSNNu4j+TpmCK6arNRd88HE51+XaAhnUbbsyqfWAtx0v0CElNXIsbG88iCRWI4UOodJgpp7++q//+q/lZtV9wDhwvtDx8HO7o2NKKZoyk8lg0eQG7QTXm5x99tln9cpbb701j3k1/NlD6jlwXcqf94OxeMoEQH7GNXxdEjlOtpMAc6HOWiteSo71uQ2QUzuqxzS+0VKHsJJewxksqXFMHamhnnOmcs6DK6sv5fq3sFgDC9DZnTC0IAaZiP48Yzu/x/QNXzPDttafh2e/6+J1IMl36T9Z2f8zfiQjOK9TRqN1vIb04GXGStbbavExX5R9+OEPf8jy1p9MHT+GtdXxZnzVRr2Nouo65qtBO93dftwPDBGvM+mJtBy/973vffjhh7/4xS++/e1vf/rpp7VP9UjwDsyweJ7VdxoOGWG/ZsrZfcacaiKQg3AH77//vviOOVjSve5Uwa+99957KvDErm0uF15FHTrZV0ibMUBqXqJxFU98p3PI4pcdAe6W4vEWMOQSfB89X58t+SaUnT49hbLLOe5k/SF8hawSs+5EGbA4pXKlZtAiu4a3TXJnSz8P55Ly0DFQu1V74eZ5QnDxUzre5h3ZOoA891cMa1yqNGZ9vNZ5S2MweovHcAVQ1Sw4t4z2ks497IYGSCc1y9IpA9Lm4Kl4Wk84r9JPdaQIphwMH+Uc4v+7DPPki9TbFPm5BQ1VuAtLmO4JSsgr+HrkPNqHqEiw7EI97Tq6MV3kdfp3+RMP4eQ8hTu1v8ttKFGVuiWOHW+fQltIjc2BZB2C5NwyeoNn6vXaCWmeToLPYaCYgulggG4ZltbNFO2O1LOXemCXG/YpvGLU6HWsfBJdX4V+15DRkmwQU0IMHFDXdCk3IMDUJeaLID/r2/WvSm/WX+uz9fp3v/vdeltpDcdGvq2D0M6eS7i0I8UXlG6VjCT05O8SJPclnbevxhxam/41muKWliyrr0R6S1P54yCIPgbHU4eDuVVbmANOtaMA7B2xC4VYOvUE+/r8+fPvf//71J5Twg6+EY4X71ejsM1Cbm4TYLGDheylAmn066x2raZeeHbhEMygk7BXPG5VZc08euf4sGPgkQ2uT/H2JBQstLvl1aG6YM1pzTfGSEvpks5ZS6bQysQR3avxEFOmkjArevKWAagUinaNYUlrE23XflUtRb2BMCkH1Q13Tsc3WswtLK9Ww5JabYIhdl7CxM4s9n+P6RHkzNm+Op9LKYzLIJ5rjep4dRzhC4h5R91eB1qClJfe5Mb2djoBtFE91SUzFGp1ahelW4BqwBqFM9JLdC+vomsycj8KPhKkfIKShilUY67mSClBTGksuQxehmsoD+qrJeHW0CXUHnRJ8ZyRrTJGxwwwuuTHQe8zwOLbM9kKiWm6Sr/NbZRi6yJAfzAdPFrZMl9NBB9Hx5R9fT1YfdrRuabl2qd8HVlhc+qVOvylyEvP1fUtskBKmorW8ItXaqnr6+oN3twe7SnUmJdwtkvfd+jNYaXkxOlPu/aXf/mXv/d7v1fCUdLN44Gd8oGuNTrBW8qQYqUlw1hgwE8Z79a5NRmdZyEbOmZWxbPREm7FVdA6sdvAyFvIfbbwz6qJcunoBvLh33N499aw4lYEpI9oGiVeXraLr+kG46kcQnbSGaDW853QfwwDAN+i7eO6K35TPwIr0MVOpAFh+92/ksbrbmIW70RCp86MDvrS2XUpBxspkjXX5mmPnmW4Tb2hNtGUzfq3DnMJVr0yBTXfG0QHt8VvyN0p9HTyandpzJ/CO+zQ9r7ULrC/0it1JEqgKyI8ghLUd9eBKIl24r37PoxN7KP6TK9U5+u72NQpzfb6Le5Xu4linqe+lB/Q198rgyWzsrmZDETpEmdCW3b9tUINTyjMliXSCNDDI+/Tu1wirhdIamoNK8Rx9Hkvu346VC0vQ2e6ZgRBu1kP4dDuRW+baNel/qeQZVoBh7shft6gU0qWckqXm0nSzFAt6eeff64Sx330XExk/SC2dPhl3ktLGUn35Zdf/sd//EcjF5hgoUZrDZknVqIE8Rx6+mWHPm0tOKUVUf1DysqCd4Ve2uVJBZQ96ny6xo9zSO5OYYBozB3F2HreAGYars+3wtO8I+lqiN8hyCf64LhDbFJ+W6jAGn37ONhB9MQyT51rccNQ5/ae8nOCT4P695r+1UO6/ARZijbvvPNOj5qpQ/LZZ5/VEddW0BjAJSNYLqHfJE+H3bCq9Zvz/jpzSNaJJuTZQwhIOj6oF7sXWXKVm1zyIWkisbKNESkcLDn0EqMSoPvR3/tskMtL2h0GPrg0Rx08G3fMcHmOnbCAWKzBLLTLBU4jgd5+sx3kGk4hLeLPnQMMtgvaFZ/ccV4Ot4B8KPJT9beAb9bMF/FN1GbDO9fQz4vUxEqdsueen0P+yXvgkwpqOg2mRnufCecMNteeEkIzebfrQwLEEFUdUszeN2cTo1J4dfTrG//t3/7NopSDWZ8tYaplKheN66OJDbra8LBTGueZBrHSJYQAYs9TOGEfQvSoRAZtRhBVqSkMSuiQ2RCABtdRe7XUr8M1L4rsQUCUsZN5GpDJNQBMzmv9qRTVMiasmsTZNRLZmbpy/UnmaNlR4dcr+BAExf56CV3+PCqwp/BS7xOWQq7WVfVxo1zmv/u7v+PuQCXcp0F5zXgMNtjD9Nk9ZRBXgzCt5nnX7yt30JF266RDwCdvhJGrs+1bGD469dq1PPsneuLr8O6v4eQl8cIIehfbJ/UzD5C4/Gcd9F8ac9QB7ro5k1mEB5cNQfx6zTTQOW3Z7Ue6k46ktvDkHDK6kucn8vAG/TnywwJ4svLG+KktUGsH5i5b5kiXz1Sxdj1L3VLFW++++67yn4CAM6NnVVqHS3cMRWVpO4AlGsTJvIRxg1l8SGPgbZQyObiP4WDvZMQ1XTp3GYh0GSAz9qS+utb5iSb4b/7mb06hbZEB/yq8uQIHH2gJW3Zs9ES4fW15rDmYuEMIJJbdzHCHgIx70XvawyCF5x21miscBjH/GnqWKTR8S8hFaW/ez3XMe+6T4OBaaxg3AlfLTWqvGYVVi6L5UxBe7yzxsgjH8EG0yyzFsO2GaCwZvbwvzS4hFlBH6vTNkm4FcEhavOmQwMTFHFiAuFAlPb/7u79b7/zZz35WQlaXev78ufE+h8wB6MSSZFUJpf3tlOZDSMJu+Wn5gwjy4rRrurRHnZvdMqWh01WdZD6NsRrzP/7jP7I7VNQWwDHRWYNC3uca5DCPmQx4zjidW1gY14xsoJw98F1myHaqzBEhmvvw8xiCw8tuIndnxcicb3Qp7qTIaBo9ERLNnBV/fZV595fRjEVtXDP8l68gyy94rBd5MHW1lxm+/ZjpS0so4IjRLVRbnR6T2jiFC5SNa6AsQ8kImK1a2ynnbG9KIQF9lEKq99SdVIRbHqGkYOmDMugy1fU6uE6n+vZJ5nq9fDXb5+S/DkF1B+CdR1jCfEz0G6x72NG4SXZ0qv2UuVeEdUqb3dMvf/u3f0viuqDNmXA3h/BoHXa0aUvaGVpz2p52da9pwmy1d0xTzRJEDf9pTdnVm+eMSd7CAzOH32EKqZ916Vz5lkJp108ex895N2TL3lsvVS3qVhy37UiIqa5D0G1d3GXlmRLe2PWbPGOtfdvl58k2pQVvgbR1dqZzQmAO9VNyxg3nPtYVSnS++93v/uhHP1KwEmSAkpdWOw3Ec70NovUYRvH6ovLkyl9c020GR9T6gtw4XbwXFs1+8aj6nXQYT7efuh+WVBwzi/TrOuzf//3fb5l9OqdxZQ2X6xIiZNakb6tXs32OvbvTdVY3MYWK7RgcRAfAhwwuWIImYOD6vm+jMLyGU7Xv8DZAgkTEUopljgM0LKnoGBmfPO86xpaBmmJb2/nbG31C78r3Y+hX6QwOEAIq5fNLxtw5hHQzGeVOdHLI9Q+Z6isLKDlXgqIg6DAg3jHGt978B3/wB/U7J/gnP/kJd7BeL/kD9+VBd3ZDWq6eqIyjSsmWNtQpo3strJU/hszM6SXxh92AwvZ52oVdAjR1zXU3yH4K7+2T+vjrv/5ra9r1jVvY2baMryDF17CTt6Gdw2rXonAIcOUSHunWUm2hO42+hX3qnA7gdt4PYQD0dafwpWxBKBzCtyYYgWzh00AV3w8eWF7563DOdG3nOgAI8ls+qGJjG6hwp9lC1yY1MLre8+LFi1tgZ7TmPkJ0bM4Zr9dGszVZL4I/KfjUV3j2H/zgB+KyeqUitZ/+9Kd1b3XlTz/91EHlh+n5YZsgI8TgEItlAZ1btk9yrk1N+wAknvKWK/EIayDwaxgx+vU507j4Bq0UrkGV+Zb5H/7hH9pH7kRfm7Z202z/NV0GHRBZpvaBDvlpTTCldntIo1xHALddebGDjlvYpB7SOnHLOFDvuaXbTjJGNdeGCd2v6Z6VgXTm6QhxKAAAB11JREFUhC1tmOZ07HTodAh8wNsAK/jCCIx4Eo5mbfkb4X+vXS+t0y5th9Jc+EOaoU8ZBG9NgDLq3/KsJavefvvtEp3yruqyX3zxxWHk7k+DqAyuxtfxSpcQ+PQdKoF/5zvfWQN6WYPaOISBaPtmvnAJyc91R1zQLk2n7rrPZQl9w5qhE7dMrvcRIuGDR53K9njvGE3pUZwyNa5D6/6lczwtYe1qtES2JG0h7Oq3tWh2TvluNKa11rQrIo52Thszfctw0ZdjGnbf/DKYfZbRaixVKwKdRmXaFZzyW1Lz53RAENxLKEavmUDOR8EDqK6itaHnOt12Uzmvgf+rDyoM2P76unKM3nvvPe0h20gvE/F/+Zd/+e/xUyqqXWBQz3Zk2/LSHCSMb0SF113J/LUDsw99phCoHEINNGU20SmU2tNI1LVuW3azI13T/Rx2WD8atO2Y7T5ihex6xbKbsLVlgN0+Qbo/mi1wrQynjOXkr3QEsKbpbw5PVXtvTs8arLQX57BGcTAfMvOjHflDmqGnkPguu9GMXC5J5M5Hw8GKYRXFtjR/Ep32tJTJOwSm/MAZPAXnTLW1grXvfe9762g+o4BZK6MSyq598MEHCvN1hVptJvXLL7+8jcnhDoYMbf2pXvdEdxkKyWG9BX21peWBQNPTHmELi2nXrDoF2lH/kkGptyDVtrBc95q3lmoj3pau47P7zJdYupEwgFLSPP/VX/3VY7pQOrPQrhLj2s0hU4rY5zAzt3KiPDt8bTu49+86JjjtJvO6Aj1E/nj6IpTHDPPs89ESdkvBuMkz5tRPtkxCZA1FQz74OiM2OHDLKOCjTCZVl9C/MMdTKhieEb5IQry2E+R6Cyiem6WEWuay/vr7v//7JXwff/zx3aBLKOkppVJhncQb134OkJXv3AbBZQ+BVdr4Qwrnwr0W9zW98NsucUjjgtVTaWuYvaUY4PU6kKJK2iAQOMZ3ziSbOTnVa8Y2ueHtm1TK8z/90z9d0iLSV/fdhMClmxqwtVqr1jWsf487BHQrcwK6ZODb3s/Yp6zmHeauNS2D1Xq4Fd5dxpwcQ9AgqdgxC1+wK8c+u47GL+vSnj5RUJm/7UZvcKV7J5Zdb4iybl2nHBrQvIfMxcQxVi+WsRM3yA5AWZVlZIu7AHIbiAY34OsEmwp5ONC0bWJnpZz4461QO5Bqm3XK2J9bkPUkppe6gz61nS4HHYIaJ237iGpO+prSIXYsSds6j/Z1mvOTTz55DK1U73d/MfPn6sddn2druDlzda479r02i20xWwP34di781PGDLcLv6Se/RjiFxGZNXUP51BFLqE7W5J9tXPtYZwzHZ0n154+bfEyNPl8BSoQJLxdRpey/Uv4fMs9dZSn/LC55Xh99NFHtlbacxmcWHcZgfRyDByQ95eS6LDuNiL8ebQE23V/7VCaATnu5jd1Uqq9JeezMcDtDXfU1s5T+zYca0iH40CNy2+3qZWBc/8SE/JnS0qKnXTEsHosD4B1a+PSEele8dABHdDtFVLbIEqbJugkFlmck9/a0mdxl3m7LdBK61bfFXwppbL32K4pSt52wxTaOnfZsRXwlr4DCff2PKZRQOXQtNYhcC2Le4Ol9ndIEyzbt4Vx6Zw+6XUAhbnzlyCS33//fZ86hiXhmpr9LYyj3b4MyrFm5KzfrTbFw47Lxq2B3XXo0KdaUNKGYsq0qbvwBmxJL7dBbN+OO3HNqJgpYEl6sSsQUj/WfAlrzVOf9D//8z8/pqlyb/7o/7YjpKeTmetu2ravcda7nbXt1/+LP9Mi1+mfOXn2aVcM6TTsJROIW3a3b+b3+Rad+OikeYeTp0z2uo5O1DVFoYfd+L+7zDS4hnR5CceBSH5vly2ZGJtgTaOCJMExB7F0CTstn2MKMAtUZhlUUl3w0f03JTNC9QIRdDq7m64Uzl1t74T0SaOn95DlfSKqLZ0PdoA1BXy7j+J9pMOyzjgeQk0gEdhWwl97ueaf/OQn8vfthfnpynQ7Lm255m+OarWRbU+nDOLyhjaIU8gUlh29xyEp0/auOiC4heK3fbI5oy4Pmep5C6n//jz1Ge1q/BKOv3lXFLcH/ttNnnOocrdUvvvwXMJ/RAM9C0+6naYFH9MOD+8qTFPtXsJQsg4QOllR3un9aInnbq9p3ABM2MIQtk86dphsKZ6Fd1MU0l7UJQQcc7IG+yPdXT1tW1hS4m6dNbb4RVXjEKoLVwPV7zuZP/zwQ+Z/24FATgEZ906sqUZ3fnlLkWjZTfbBBdI+1rTLgd3SKnPYEdLT3o4m7aJQU//+53/+56/8yq/Ug/3Xf/2XyTOIl9iaji63FNXpxfbDtrRxNygF/YmcuxNG4p8/f96Yp+uO4qzdYRgb0Ymc5DSanOSrYM/L3/LiFBBwvaKzl5RMA818HRXibYCY7zJD1Ly4LWD5c9qy17QQo3GXeWmm5HOmbre6PYUetzNzDqpRLlZm3dUAbgFHtRV6DEfNvkakLMHxpZIhE9dwk84pq8Ae14LUg/9fhJ0g0oawgysAAAAASUVORK5CYIIAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(xt::cast<unsigned char>(xt::stack(xt::xtuple(d_image_grad_bw_rescale, d_image_grad_bw_rescale,\n",
    "                                                     d_image_grad_bw_rescale), 2)));"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "C++14",
   "language": "C++14",
   "name": "xcpp14"
  },
  "language_info": {
   "codemirror_mode": "text/x-c++src",
   "file_extension": ".cpp",
   "mimetype": "text/x-c++src",
   "name": "c++",
   "version": "14"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
